Question:
If \( |a| = 2 \) and \( -3 \leq k \leq 2 \), then \( |a| |k| \in: \)
If \( |a| = 2 \) and \( -3 \leq k \leq 2 \), then \( |a| |k| \in: \)
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To find ranges of products, compute the extreme values by multiplying corresponding endpoints.
Updated On: Jan 29, 2025
- \( [-6, 4] \)
- \( [0, 6] \)
- \( [4, 6] \)
- \( [0, 6] \)
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The Correct Option is D
Solution and Explanation
Since \( |a| = 2 \) and \( |k| \in [0, 3] \) (from \( k \in [-3, 2] \)), the range of \( |a| |k| \) is:
\[
|a| |k| \in [2 \cdot 0, 2 \cdot 3] = [0, 6].
\]
Final Answer: \( \boxed{{(D)}} \)
Final Answer: \( \boxed{{(D)}} \)
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