Mrs. Thompson's family is headed to Carrowinds. Solve an inequality that shows the amount of money (m) they must take so they will have at least $45 to spend after paying a $12 parking fee.

3 answers

Let x be the amount of money they need to take before paying the parking fee. The total amount of money they will have after paying the fee is x - 12.

The inequality that represents the situation is:
x - 12 ≥ 45

To solve for x, first, add 12 to both sides of the inequality:
x ≥ 57

Therefore, Mrs. Thompson's family must take at least $57 to Carowinds so they will have at least $45 to spend after paying the $12 parking fee.
Is it the inequality symbol >, <, *greater than or equal to symbol*, or *less than or equal to symbol*?
Apologies for that oversight. The correct symbol for the inequality should be the greater than or equal to symbol (≥).

Therefore, the correct inequality to represent the situation is:
x - 12 ≥ 45

And the solution is:
x ≥ 57

Meaning that Mrs. Thompson's family must take at least $57 to Carowinds to have at least $45 to spend after paying the $12 parking fee.