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The solution set of |a| = 4 is

Question

The solution set of |a| = 4 is

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Solution

To find the solution set of |a| = 4, we need to consider two cases: when a is positive and when a is negative.

Case 1: a is positive In this case, |a| is equal to a. So we have a = 4. Solving for a, we find that a = 4.

Case 2: a is negative In this case, |a| is equal to -a. So we have -a = 4. Solving for a, we find that a = -4.

Therefore, the solution set of |a| = 4 is {4, -4}.

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