Question

gil will run at least 31 miles this week. so far, he has run 22 miles. what are the possible numbers of additional miles he will run? use t for the number of additional miles he will run. write your answer as an inequality solved for t.

Explanation:

Step1: Define the inequality

Let \( t \) be the number of additional miles. The total miles run is \( 22 + t \), and this must be at least 31 (since he will not run less than 31 miles). So the inequality is \( 22 + t \geq 31 \).

Step2: Solve for \( t \)

Subtract 22 from both sides of the inequality:
\( 22 + t - 22 \geq 31 - 22 \)
Simplifying both sides gives \( t \geq 9 \).

Answer:

The inequality is \( t \geq 9 \), meaning the number of additional miles \( t \) is greater than or equal to 9.