Question

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

Answer 1

The correct option is B.

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)