Answer:
Let x be the number of additional miles Tammy needs to run this week to reach her goal of at least 10 miles per week.
To determine the inequality, we can start with the given information and use the inequality symbol for "greater than or equal to" (≥):
4.5 + x ≥ 10
This inequality states that the sum of the distance Tammy has already run this week (4.5 miles) and the additional distance she still needs to run (x miles) must be greater than or equal to 10 miles in total for her to reach her goal.
To solve for x, we can start by subtracting 4.5 from both sides of the inequality:
x ≥ 10 - 4.5
Simplifying, we get:
x ≥ 5.5
Therefore, Tammy must run at least 5.5 more miles this week to reach her goal of at least 10 miles per week.
Explanation:
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