11. GRADE POINT AVERAGE Emil has a 3.14 GPA.By how many points must Emil increase his GPA to have a GPA of at least 3.75?Write and solve an inequality to represent the situation.

## Step 1<br />The problem involves finding out how many points Emil needs to increase his GPA from 3.14 to at least 3.75. This can be represented by an inequality.<br /><br />## Step 2<br />Let's denote the number of points Emil needs to increase his GPA as \(x\). The inequality that represents this situation is \(3.14 + x \geq 3.75\).<br /><br />## Step 3<br />To solve this inequality, we need to isolate \(x\). We can do this by subtracting 3.14 from both sides of the inequality.<br /><br />### \(x \geq 3.75 - 3.14\)<br /><br />## Step 4<br />Perform the subtraction on the right side of the inequality.<br /><br />### \(x \geq 0.61\)<br /><br />This means that Emil needs to increase his GPA by at least 0.61 points to reach a GPA of at least 3.75.