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Answer :
Final answer:
The inequality that shows how many weeks it will take Nathan to lift more than Joseph is 110w + 4 > 135w + 2 (Option A). Nathan's weight, represented as 110 + 4w, needs to be greater than Joseph's weight, represented as 135 + 2w, to indicate that Nathan will eventually lift more weight as the weeks progress.
Explanation:
The inequality that shows how many weeks it will take Nathan to lift more than Joseph is 110w + 4 > 135w + 2 (Option A).
To understand why this inequality represents the situation, let's break it down:
- 110w represents Nathan's starting weight plus the increase of 4lbs each week (110 + 4w)
- 135w represents Joseph's starting weight plus the increase of 2lbs each week (135 + 2w)
Therefore, the inequality states that Nathan's weight (110 + 4w) should be greater than Joseph's weight (135 + 2w). This ensures that Nathan will eventually lift more weight than Joseph as the weeks progress.
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