Alex and Clare solved the inequality $2(6 - k) \ge 52$. Who solved it correctly and why? Who solved it incorrectly, and what mistake was made? Answer both questions. Explain or show your reasoning. Alex's solution: $2(6 - k) \ge 52$ $12 - 2k \ge 52$ $-2k \ge 40$ $k \ge -20$ Clare's solution: $2(6 - k) \ge 52$ $12 - 2k \ge 52$ $-2k \ge 40$ $k \le -20$
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Step 1: Alex's solution: 26 - k > 52 -k > 52 - 26 -k > 26 k < -26 Clare's solution: 26k > 52 k > 52 / 26 k > 2 Show more…
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