Billy is helping to make pizzas for a school function. He's made 25 pizzas so far.His principal asked him to make at least 30 pizzas but no more than 75. Solve the compound inequality and interpret the solution. 30leqslant x+25leqslant 75 5geqslant xgeqslant 50 Billy needs to make less than 5 more pizzas or more than 50. 5leqslant xleqslant 50 Billy needs to make at least 5 more pizzas but no more than 50. 55leqslant xleqslant 100 Billy needs to make at least 55 more pizzas but no more than 100 55geqslant xgeqslant 100 Billy needs to make less than 55 more pizzas or more than 100

## Step 1<br />The problem presents inequality, which is a combination of two inequalities. The inequality given is \(30 \leq x + 25 \leq 75\). This inequality represents the number of pizzas Billy needs to make, which is at least 30 but no more than 75.<br /><br />## Step 2<br />To solve this compound inequality, we need to isolate \(x\). We can do this by subtracting 25 from all three parts of the inequality.<br /><br />### \(30 - 25 \leq x + 25 - 25 \leq 75 - 25\)<br /><br />## Step 3<br />After performing the subtraction, we get:<br /><br />### \(5 \leq x \leq 50\)<br /><br />This means that Billy needs to make at least 5 more pizzas but no more than 50.