Question

Below are the steps to solve an equation:

Step 1: |x – 4| + 1 = 8
Step 2: |x – 4| = 8 – 1
Step 3: |x – 4| = 7

Which of the following is a correct next step to solve the equation?

x – 4 = –7

x + 4 = –7

–x – 4 = 7

x + 4 = 7

Answer 1

I am thinking it is the first answer choice

Answer 2

what about this one?
Which of the following is not a way to represent the solution of the inequality 8x - (5x + 4) greater than or equal to -31?

x greater than or equal to -9

-9 less than or greater to x

A number line with a closed circle on -9 and shading to the left

A number line with a closed circle on -9 and shading to the right

Answer 3

8x - (5x + 4) >= -31
8x -5x - 4 >= -31
3x - 4 >= -31
3x >= -31 + 4
3x >= - 27
x >= -9

the incorrect one is : closed circle on -9 shading to the LEFT

Answer 4

thank you... so much! do you ,mind helping with a couple more?

Answer 5

I can try

Answer 6

Choose the correct description of the graph of the compound inequality

x - 3 < -9 or x + 5 greater than or equal to 10.

A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right.

A number line with a closed circle on -6, shading to the left, and an open circle on 5, shading to the right.

A number line with an open circle on -6, a closed circle on 5, and shading in between.

A number line with a closed circle on -6, an open circle on 5, and shading in between.

Answer 7

x - 3 < -9
x < -9 + 3
x < - 6

x + 5 >= 10
x >= 10 - 5
x >= 5

open circle on -6, shaded to the left, and a closed circle on 5, shading to the right

Answer 8

quick lesson...
if there is an equal sign involved, it is a closed circle
if there is no equal sign, it is an open circle
(>) greater then means shading to the right
(<) less then means shading to the left

Answer 9

I am sorry but I have to go now.....I hope I helped you out some :)