Answer:
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)
