Omar has a gift card for $25 at the clothing store. He wants to buy socks that cost $4 per pair. he also has a coupon for $5 off hos entire purchase. Omar wants to know how many pairs of socks he can buy.

Let p be the number of pairs of socks Omar buys. Write an inequality that represents the situation

1 answer

To set up the inequality for Omar's situation, we start by defining the terms involved:

Let $ p $ be the number of pairs of socks Omar buys.
Each pair of socks costs $4, so the total cost for $ p $ pairs of socks is $ 4p $.
Omar has a coupon for $5 off his total purchase.
With the coupon, the total cost for the socks becomes $ 4p - 5 $.
Omar has a gift card worth $25, so the total amount he can spend (after using the coupon) should not exceed $25.

Setting up the inequality, we have:

\[ 4p - 5 \leq 25 \]

This inequality represents the condition that Omar's total cost (after applying the coupon) must be less than or equal to the amount on his gift card.