Compare solving equations with solving inequalities. How are the processes similar or different?

Answers

Answer 1

Answer:

Similarities

1. Adding or subtracting a number from both sides.

2. Multiplying or dividing both sides by a positive number.

3. Applying an increasing function to both sides.

4. Simplifying one or both sides.

Differences

1. Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.

2. When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.

3. Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.


Related Questions

Mrs. Barkley is teaching a class in which the students are decorating gift boxes. She wants the students to decorate gift boxes using a ratio of 4 gems for every 3 ribbon flowers.

Dan used 20 gems for every 15 ribbon flowers.
Mary used 22 gems for every 18 ribbon flowers.
Nancy used 18 gems for every 24 ribbon flowers.
Jason used 26 gems for every 20 ribbon flower.

Which student used the correct ratio?

Answers

Dan used 20 gems for every 15 ribbon flowers

what matrix is a result of m x h enter your answer by filling in the boxes enter any fractions as simplified fractions​

Answers

Answer:

-32/3 16 -16/3

Step-by-step explanation:

I got it wrong and this was the right answer

Answer:

Step-by-step explanation:

-6(-4u-x+5) Use the distributive property to remove the parentheses.

Answers

Answer:

ndhehenejejeuehehehebebeejjwjwnwbwbsbsbbsbsbdbbbdbdbdbdbb

What do you mean explain so we can solve !!!!!!

Select the compound inequality that does not belong with the other three.


a>4 or a 8

a>7 or a −9

Answers

Answer:

a>4 or a 9

Step-by-step explanation:

-9 is less than 7 thats why its a>4 or 8 a 9

The diagram shows a right-angled triangle.
13 cm
24°
hcm
What is the value of h?
qive your answer correct to 1 decimal place.

Answers

Answer:

11.9cm

Step-by-step explanation:

cos = adj/hyp

cos 24°= hcm/ 13cm

13 cos 24°= h

11.88= h

11.9 cm

3) 92 students were surveyed about their elective classes for the first semester. The
following were the results of the survey:
50 students take art
35 students take music
40 students take drama
20 students take music and art
24 students take drama and music, 19 students
take art and drama, 17 students take all three classes
How many students are not in any of the 3 classes?
PLS HELP I HAVE TRIED THREE TIMES. GEOMETRY SOLVE WITH A VENN DIAGRAM

Answers

Answer:

I believe that the answer is that 13 students don't take any of the three classes.

A car uses 4 gallons of gasoline for a
trip of 30 miles. How many gallons of
gasoline would be used on a trip that is 81
miles?

Answers

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Choose the equation that could be used to find three consecutive integers whose sum is 36.

a) n + (n + 2) + (n + 4) = 36
b) n + (n + 1) + (n + 3) = 36
c) n + (n + 1) + (n + 2) = 36
d) n + (n − 1) + (n − 3) = 36

Answers

Answer: C

Explanation:

n + (n+1) + (n + 2) = 36
n + n + 1 + n + 2 = 36
3n + 3 = 36
3n = 36 - 3
3n = 33
n = 11

Plug n value in the equation:

11 + (11 + 1) + (11 + 2) = 36
11 + 12 + 13 = 36
36 = 36

And 11, 12, 13 are consecutive integers that add up to 36

the question is in the picture. please help

Answers

Answer:

50th term would be 317

Step-by-step explanation:

The "shortcut" would be 17+6x since you have a starting value of 17 and you add 6 to each term.

The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel.

What is the slope of the line?
A. -2
B. -1/2
C. 7/16
D. 39/30

Answers

A = ( 15 , 15 )

B = ( 6 , 33 )

[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

[tex]slope = \frac{33 - 15}{ 6 - 15} \\ [/tex]

[tex]slope = \frac{18}{ - 9} \\ [/tex]

[tex]slope = - 2[/tex]

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

A. -2

Step-by-step explanation:

took the test :))

This is the last one thank u everyone who helped me please help with this one ily

Answers

Answer:

x = 156°

Step-by-step explanation:

180 = x + 24

x = 180 - 24

x = 156

what is the GCF to 12,30

Answers

Answer: GCF(12,30) = 6

Answer:

6

Step-by-step explanation:

6 times 2=12

6 times 5=30

6 is the hghest number that can go into both. Making it the greatest common factor

Hydrochloric acid (HCl) is combined with cesium hydroxide (CsOH) in a neutralization reaction.
Which ions will combine to form a salt? Check all that apply.
A. H+
B.H3O+
C.Cl-
D.Cs+
E.OH-

Answers

Answer:

HCl + CsOH --> CsCl + H2O

So the ions making up the salt: Cl- and Cs+

Answer:

H+

H3O+

C. Cl-

D.Cs+

OH-

and our last one for today
(let me know if i should keep posting more)

Answers

Answer:

50

Step-by-step explanation:

The angles must add up to 180 and 180-105=75-25=50

And yes you should

PLEASE ANSWER
Which expression is equivalent to -16 -9?
A. -16 + (-9)
B. 16 + 9
C. 16 + (-9)
D. -16 + 9

Answers

I believe that the answer is A.

Answer:

A is correct Step-by-step explanation:


What is the slope of the line?

Answers

Answer:

Slope: 3

Step-by-step explanation:

find 2 points on the line and do rise/run which would get 3/1 which is 3

Given the equation 9x - 3y - 27 in standard form. Show how you would
convert the equation into slope-intercept form - y = mx + b. You must
show your work to receive full credit. (3 points)

Answers

A standard form equation is when it is set up

Ax + By = C.

6x + 2y = 4

A slope-intercept form equation is when it is set up y=mx+b.

Y = - 3x + 2

In order to go from one form to another, all you have to do is change the order of the given numbers.  First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it.  At this point your equation will be set up By = -Ax + C.  Then you want to divide the B from the By and the rest of the equation.  Therefore you will have y = - Ax/B + C/B.  This is the same thing as the slope-intercept form, just a few of the letters are different.

Example 1:        

Change from standard to slope form

8x + 4y = 16

8x + 4y = 16  first subtract  8x

4y = -8x + 16   then divide all by 4

y = -2x + 4   slope form

Example 2:

 6x + 3y = 21

6x + 3y = 21  subtract  6x

3y = -6x + 21  then divide all by 3

y = -2x + 7   slope form

pls mark brainest

-30/3+-5 i need help with this for math class.

Answers

Answer:

-15

Step-by-step explanation:

-30/3 = Negative thirty divided by three equals Negative Ten.

Negative ten plus negative five equals Negative Fifteen

Answer:

is -15

Step-by-step explanation:

-30/3+-5 =

-10 + (-5) =

-15

Which of the following are exterior angles? Check all that apply
A. <4
B. <1
C. <2
D. <5
E. <6
F. <3

Answers

Answer:

A4 c2. e6.

Step-by-step explanation:

Apex

What is the unit rate for the ratio 280 students/8 buses =​

Answers

Answer:

35 children for every 1 bus

Step-by-step explanation: :) i hope i helped

35:8 ( 35 students for each bus)

g(r) = -5r+13
g(3)=_______
PLEASE HELP ME URGENT ASAPPPPP PLEASEEEE

Answers

-5(3)+13 would be -15+13, so the answer would be -2

Will give brainliest

Answers

Answer:

-6/3= -2

3/-6= -1/2 they are not equal. So false

-8*9= -72

9*-8= -72 They are equal. So true

hope this helps!

Camila is driving on a long road trip. She currently has 10 gallons of gas in her car. Each hour that she drives, her car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after tt hours?

Answers

for three hours is he will take up 5.25gallons.
she will be left with 4.75 gallons

Answer:

gas left after 3 hours = 4.75

gas left after t hours = 10-1.75t

Step-by-step explanation:

According to DeltaMath "Since Camila uses 1.75 gallons of gas per hour, she would use 1.75 x 5, or 5.25 gallons in 3 hours. Since Camila started with 10 gallons in the tank, the amount of remaining after 3 hours would be 10-5.25 or 4.75 gallons. "

answer please this question​

Answers

Answer:

p = 4√5

Step-by-step explanation:

To solve for P, we can use the Pythagorean theorem.

a²+b²=c²

(8)²+(p)²=12²

64+p²=144

p²=80

√p=√80

p = 4√5

Kalie pays $9.24 for 11 pounds of flour. What is the price per pound of flour?

Answers

Answer:

$0.84, 84 cents per pound.

Step-by-step explanation:

I hope that this helps. Have a good day!!

9.24 ÷ 11 = 0.84

ASAP PLS ILL GIVE BRAINLIEST

coordinate plane with points at A 0 comma 2 and B 2 comma 0 intersected by line f Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related? A) The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A. B) The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B. C) The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line. D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

Answers

Answer:

D (0,6) (6,0)

Step-by-step explanation:

when you multiply it you do the x coordinates first then the y.

so (0,2)  x 3 = (0,6)

(2,0) x 3 = (6,0)

These coordinates are parralel to each other.

The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel, the correct option is D.

What is Transformation?

Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.

Dilation is a process in which the object or the graph is enlarged or compressed by a scale factor.

The coordinates of A( 0, 2)

The coordinates of B(2,0)

The scale factor is 3

The center of dilation of f is at the origin to create line f'.

The points A and B lie on the line f, when line f is dilated, the coordinates will also get dilated.

The coordinate of A after dilation is 3 * (0,2)

A' = (0,6)

The coordinate of B after dilation is 3 * (2,0 )

B' = (6,0)

The line f' will be parallel to the line f.

To know more about Transformation

brainly.com/question/11709244

#SPJ5

The number line represents Allie’s scores in the first two rounds of a card game.

Use the drop-down menus to explain Allie’s gains and losses in the game.

A number line shows an arrow from 0 to 4 labeled round 1 and an arrow from 4 to 0 labeled round 2.

Allie
Choose...
points in the first round of the card game. In the second round, she
Choose...
points. After the first two rounds, she has
Choose...
points.

Answers

Answer:

Allie gains 4, she loses 4, she has 0 points.

Step-by-step explanation:

The arrow shows it. Round 1 goes 0 to 4. Round 2 goes 4 to 0.

En una escuela hay 135 mujeres y la razón entre hombres y mujeres es de 7 a 9. ¿Cuántos estudiantes hay en la escuela? *

Answers

Answer:

There are 531.5625 students which is 531 students in the school

Step-by-step explanation:

We add the ratio numbers ( 7 + 9 = 16)

We then divide that number by 135 ( 135 / 16 = 8.4375)

After we multiply by each ratio number, ( 7 and 9).

And we end up with 531.5625, also 531 students.

--------------------------------------------------------------------------------

Hay 531.5625 estudiantes, que son 531 estudiantes en la escuela.

Explicación paso a paso:

Sumamos los números de razón (7 + 9 = 16)

Luego dividimos ese número por 135 (135/16 = 8.4375)

Después, multiplicamos por cada número de razón (7 y 9).

Y terminamos con 531.5625, también 531 estudiantes.

Karen reads an average of 50 pages per day. d Suppose Karen reads 50 pages per day during the week, but then reads 1.5 times as many pages on Saturday and Sunday. How many pages total will Karen read on Saturday and Sunday? HELP HAVING BAD DAY

Answers

Answer:

150

Step-by-step explanation:

50*1.5=75  75*2=150. Hope your day gets better =)

2. Jacob deposited $6,000 into an account that offers 4.5% interest compounded annually.
He makes no additional deposits or withdrawals.
Which amount is closest to the interest Jacob will have earned at the end of 10 years?
A $9,317.82
B $270.00
C $3,317.82
D $2,700.00

Answers

Answer: a

Step-by-step explanation:

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