Question

kathleen went to a natural science museum and bought an admission ticket that cost $21. she figured she could spend up to $19 on special exhibits to avoid spending too much in all. let x represent how much money kathleen wanted to spend in all. which inequality describes the problem? $x - 21 > 19$ $x - 21 \leq 19$ solve the inequality. then, complete the sentence to describe the solution. kathleen wants to spend at most $\underline{\quad}$ in all.

Explanation:

Step1: Determine the inequality

The total money spent \( x \) minus the ticket cost (\$21) is the money spent on exhibits. She can spend up to \$19 on exhibits, so \( x - 21 \leq 19 \).

Step2: Solve the inequality

Add 21 to both sides: \( x - 21 + 21 \leq 19 + 21 \), so \( x \leq 40 \).

Answer:

The inequality is \( x - 21 \leq 19 \), and Kathleen wants to spend at most \$40 in all.