1. Let \( t \) be the time in minutes spent practicing. The total time is 35 minutes, so \( t + 12 = 35 \). Solving for \( t \), we get \( t = 35 - 12 = 23 \). The inequality is \( t + 12 \leq 35 \), and the solution is \( t \leq 23 \).
2. Let \( c \) be the original number of CDs. After losing 24 CDs, he has 70 left, so \( c - 24 \geq 70 \). Solving for \( c \), we get \( c \geq 94 \). The inequality is \( c - 24 \geq 70 \), and the solution is \( c \geq 94 \).
3. Let \( m \) be the number of muffins. The total cost is \( 3.50m \), and it must be at least $150, so \( 3.50m \geq 150 \). Solving for \( m \), we get \( m \geq \frac{150}{3.50} \approx 42.86 \). Since \( m \) must be an integer, \( m \geq 43 \). The inequality is \( 3.50m \geq 150 \), and the solution is \( m \geq 43 \).
4. Let \( d \) be the amount of dough in pounds. The total dough used is \( 2 + d \), and it must be at least 5 pounds, so \( 2 + d \geq 5 \). Solving for \( d \), we get \( d \geq 3 \). The inequality is \( 2 + d \geq 5 \), and the solution is \( d \geq 3 \).
Parent Tip: Review the logic above to help your child master the concept of compound inequalities word problems worksheet with answers.
