choose the inequality that matches this situation

Question

Sarah will spend at most $26 on candy, each item costs $3 and she has a coupon for a $5 discount

3x - 5 > 26

3x - 5 <26

3x - 5 > _26

3x - 5 _< 26

Answer 1

To set up the inequality based on Sarah's situation, we begin by calculating the total amount she has available to spend on candy after applying the coupon.

1. Sarah has a budget of $26 and a coupon for a $5 discount, so her effective spending is: \[ 26 - 5 = 21 \]

2. Let \( x \) be the number of candy items she wants to buy, and since each item costs $3, her total spending before the discount can be represented as \( 3x \).

3. The amount she can spend after applying the $5 discount should be less than or equal to her effective spending, which gives us the inequality: \[ 3x - 5 \leq 26 \]

Thus, the matching inequality for Sarah's situation is: \[ 3x - 5 \leq 26 \]

So the correct option is: 3x - 5 ≤ 26