Answer :
Final answer:
A man needs to weigh between 140 and 147 pounds, inclusive, to qualify for the welterweight boxing category. The compound inequality needed to represent this is 140 ≤ x ≤ 147.
Explanation:
The question is asking for a compound inequality to represent the weight range for a man to participate in the welterweight boxing category. A compound inequality is a mathematical statement that joins two inequalities with the word 'and' or 'or'. The lower limit is 140 pounds, and the upper limit is 147 pounds, inclusive, for a man to qualify as a welterweight. Therefore, we can write the compound inequality as:
140 ≤ x ≤ 147
So, any man who wants to box in the welterweight category must weigh at least 140 pounds but not more than 147 pounds.
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