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Final answer:
A compound inequality to represent the weight range for a man to qualify as a welterweight in boxing is 140 < x ≤ 147, where x is the man's weight in lbs.
Explanation:
The question asks to write a compound inequality for a man's weight to qualify as a welterweight in boxing. A welterweight must weigh more than 140 lbs, but at most 147 lbs. To represent this situation with a compound inequality, we combine these conditions into one mathematical statement.
The required inequality is: 140 < x ≤ 147, where x represents the weight of the man. This inequality states that the man's weight (x) must be greater than 140 lbs and less than or equal to 147 lbs to qualify as a welterweight.