The inequality that describes the problem is x - 30 ≤ 15
Inequality problem
Let x represent how much money Michael expects to spend on sports wear
If Michael just started middle school this year, and his grandmother will give him some money to buy new spirit wear and buys hoodie for $30, the balance remaining will be x - 30
If Michael figures he'll need at most $15 more to buy a T-shirt, hence the resulting inequality will be:
x - 30 ≤ 15
Add 30 to both sides
x - 30 + 30 ≤ 15 + 30
x ≤ 45
Hence the inequality that describes the problem is x - 30 ≤ 15 and Michael expects to spend at most $45 on sports wear.
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