Question

If \( |a| = 2 \) and \( -3 \leq k \leq 2 \), then \( |a| |k| \in: \)

• A. \( [-6, 4] \)
• B. \( [0, 6] \)
• C. \( [4, 6] \)
• D. \( [0, 6] \)

Hint:

To find ranges of products, compute the extreme values by multiplying corresponding endpoints.

Answer 1

The Correct Option is D

Given that \( |a| = 2 \) and \( |k| \in [0, 3] \) (derived from \( k \in [-3, 2] \)), the possible values for \( |a| |k| \) are: \[ |a| |k| \in [2 \cdot 0, 2 \cdot 3] = [0, 6]. \]
Final Answer: \( \boxed{ {(D)}} \)