Question

1. gabe has 6 more baseball cards than football cards. he has fewer than 125 baseball cards. write an inequality for the number of football cards, f, he has.

Explanation:

Step1: Define baseball cards in terms of football cards

Let \( f \) be the number of football cards. Since Gabe has 6 more baseball cards than football cards, the number of baseball cards is \( f + 6 \).

Step2: Set up the inequality for baseball cards

We know he has fewer than 125 baseball cards. So, the number of baseball cards (\( f + 6 \)) must be less than 125. This gives the inequality \( f + 6 < 125 \).

Step3: Solve for \( f \) (optional, but to express in terms of \( f \))

Subtract 6 from both sides of the inequality \( f + 6 < 125 \). We get \( f < 125 - 6 \), which simplifies to \( f < 119 \).

Answer:

The inequality for the number of football cards \( f \) is \( f + 6 < 125 \) (or equivalently \( f < 119 \)).