Question

kate is training for a race. her goal is to run at least 20 miles this week. she has already run 8 miles and will run on 4 more days this week. she will run the same number of miles each of the 4 days. which inequality shows all the possible numbers of miles, x, that kate could run on each of the 4 days to reach her goal?

Explanation:

Step1: Define total miles

Kate has run 8 miles, and will run \( x \) miles each of 4 days. Total miles: \( 8 + 4x \).

Step2: Set up inequality

Goal is at least 20 miles, so \( 8 + 4x \geq 20 \).

Step3: Solve for \( x \)

Subtract 8: \( 4x \geq 12 \). Divide by 4: \( x \geq 3 \).

Answer:

The inequality is \( 8 + 4x \geq 20 \) (or simplified \( x \geq 3 \)).