Question

Help me plzz I don't get any of this!?

Answer 1

1. 3x ≤ 9
Divide 3 on both sides.
3/3 = 1 9/3 = 3

x ≤ 1

Your line graph should have a little line like this: | and with the number 1 under it.
It will be a shaded in circle since it's greater than, less than, and you goes to infinite.

2. 4x - 3  ≥ 13
Add 3 to both sides

4x ≥ 16
divide 4 into both sides

x ≥ 4

3. 4x - 3 < 13

same thing as 2
add 3 onto both sides
4x < 16
x < 4

this one is a bit different when you are using a line graph, you are going to do a opened circle, do not shade it in and then draw back.

4. 5x + 10 > 14x - 8

add 8 onto both sides.

5x + 18 > 14x

subtract 5x.

18 > 9x

x > 9

5. 2x - 6 < 2

add 6 to both sides

2x < 8

divide by 2,

x < 4

6. 2x - 5 ≤ x - 2

add to onto both sides.

2x - 3 ≤ x

subtract x onto both sides

-3 ≤ -x

This is crucial, any time you are dividing by a negative number you will always flip the sign.

x ≥ 3

7. 3x - 14 ≥ 2 - 5x

add 5x on both sides

8x - 14 ≥ 2

add 14 on both sides

8x ≥ 16

divide both sides by 8
x ≥ 2

I will let you do the last 3 on your own, but I hope you got the overall gist of it.