For a wrestler to qualify in his weight class, he needs to weigh more than 165 pounds but less than or equal to 185 pounds. He currenty weighs 189 pounds and is losing 0.5 of a pound per week.

After w weeks, his weight will be 189 − 0.5w pounds because he loses 0.5 pound each week. To qualify, that weight must be more than 165 and at most 185, so the inequality is 165 < 189 − 0.5w ≤ 185. This matches choice B.

AI-written and checked against the verified answer.