Final answer:
The correct inequality that represents the maximum number of pairs of socks Omar can buy with a $25 gift card and a $5 coupon is 4P - 5 ≤ 25, where P is the number of pairs of socks.
Step-by-step explanation:
Omar has a $25 gift card and a $5 coupon for his total purchase at a clothing store. He buys socks priced at $4 per pair and wants to determine the maximum number of pairs he can buy without exceeding the value of the gift card and coupon. The correct inequality to represent this situation is the amount Omar spends on socks minus the value of the coupon being less than or equal to the value of the gift card.
The inequality that represents the situation is:
4P - 5 ≤ 25
Where P is the number of pairs of socks. With each pair costing $4, 4P gives us the total cost of the socks. Since he also has a $5 coupon, we subtract the coupon value from the total cost of socks, resulting in 4P - 5. The total cost after applying the coupon should be less than or equal to the value of the gift card which is $25. Thus the inequality 4P - 5 ≤ 25 correctly represents the constraint on Omar's spending.