Question

| 3x-6 | <9
Graph the solution set

Answer 1

i still dont understand

Answer 2

It's asking what values of x make | 3x - 6 | less than 9. You can graph this by drawing y = | 3x - 6 | on a Cartesian coordinate plane and then looking at which values of x make the y value less than 9.

Answer 3

but shouldnt i make an equation for -9 as well?

Answer 4

meaning 3x-6 > -9?

Answer 5

| 3x-6 | <9 means
-9<3x-6<9

Answer 6

the numbers that would work are ONLY between -1 and 5? or could the be greater that 5 and less than -1?

Answer 7

only between -1 and 5

Answer 8

thank you

Answer 9

| 3x-6 | <9
--> -9 < 3x-6 < 9
--> a. -9 < 3x-6 and b. 3x-6 < 9
--> a. -9-(-6) < 3x
-->-3 < 3x
-->-1 < x (A)

--> b. 3x-6 <9
-->3x < 9-(-6)
-->3x < 15
--> x< 5 (B)

(A) and (B) mean
-1 < x < 5