Given that k is an integer and the equation |x - k| + |x + 3| = 12 has infinite solutions, find the sum of the maximum and minimum values of k.
Question
Solution 1
Sure, let's solve the equation step by step.
Step 1: Rewrite the equation using the definition of absolute value. |x - k| + |x + 3| = 12
Step 2: Consider the different cases for the absolute value expressions.
Case 1: (x - k) ≥ 0 and (x + 3) ≥ 0 In this case, the absolute value expressions can be Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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Given that k is an integer and the equation |x - k| + |x + 3| = 12 has infinite solutions, find the sum of the maximum and minimum values of k.
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