Solve and graph |-8x|< 8
which is it

The correct option is B.

Step-by-step explanation:

We know, from the definition of |x|,

|-8x| = - 8x, when - 8x ≥ 0 i.e. x ≤ 0 (1)

and |-8x| = 8x, when  - 8x < 0 i.e. x > 0 (2)

Now, for x ≤ 0 {i.e. condition (1)}

- 8x ≤ 8, ⇒ x ≥ - 1 (3)

Again, for x > 0 { i.e. condition (2)}

8x ≤ 8, ⇒ x ≤ 1 (4)

So, combining conditions (3) and (4) we get  -1 ≤ x ≤ 1.

So, the correct option is B. (Answer)