Question

solve the inequality and graph the solution.
2f - 10 > -2
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Add 10 to both sides

To isolate the term with \( f \), we add 10 to both sides of the inequality \( 2f - 10 > -2 \). This gives us \( 2f - 10 + 10 > -2 + 10 \), which simplifies to \( 2f > 8 \).

Step2: Divide both sides by 2

To solve for \( f \), we divide both sides of the inequality \( 2f > 8 \) by 2. This results in \( \frac{2f}{2} > \frac{8}{2} \), so \( f > 4 \).

Answer:

The solution to the inequality \( 2f - 10 > -2 \) is \( f > 4 \). To graph this, we draw an open circle at \( 4 \) on the number line (since the inequality is strict, \( 4 \) is not included) and draw an arrow to the right to represent all values greater than \( 4 \).