Answer:
- 3 < w < 3
So, option D is correct.
Step-by-step explanation:
From the definition of |x|, we have
|w| = w, when w ≥ 0 .......... (1) and
|w| = -w when w < 0 ........... (2)
So, given that |w| < 3 ....... (3)
Now, from conditions (1) and (3), 0 ≤ w < 3 ..... (4)
Again , from conditions (2) and (3), - w < 3, ⇒ w > -3
So. 0 > w > -3 ....... (5)
Therefore, combining the condition (4) and (5) we get
- 3 < w < 3
So, option D is correct. (Answer)
