Question

Vince is saving for a new mobile phone. The least expensive model Vince likes costs $225.90. Vince has saved $122.35. He used this solution to determine how much more he needs to save.

225.90 less-than-or-equal-to 122.35 + a. 225.90 minus 122.35 less-than-or-equal-to 122.35 minus 122.35 + a. 103.55 less-than-or-equal-to a.

Vince says that based on the solution, he should save a maximum of $103.55.

Is Vince correct?
Vince is correct because he found the correct solution to the inequality.
Vince is correct because he should save at least $103.55.
Vince is not correct because he wrote the wrong inequality to represent the situation.
Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.

Answer 1

Answer: Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.

Explanation: The inequality 122.35 + a ≥ 225.90 leads to a ≥ 103.55, so a is at least $103.55. That means he must save at least $103.55 (minimum), not a maximum.