We are given that Amanda will run less than 37 miles total this week. So the total number of miles she will run is 37 - t (where t is the number of additional miles she will run). We are also given that she has already run 22 miles. So the inequality that represents the total number of miles she will run is:
37 - t > 22
Now we need to solve this inequality for t. Let's start by subtracting 37 from both sides:
- t > 22 - 37
Simplifying the right side of the inequality:
- t > -15
But we want to solve for t, not -t. So we need to multiply both sides of the inequality by -1, and when we do that, we need to reverse the inequality sign:
t < 15
Therefore, the possible numbers of additional miles Amanda will run are all values less than 15 (but not including 15).
Amanda will run less than 37 miles this week. So far, she has run 22 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run.
Write your answer as an inequality solved for t .
1 answer