Asked by D4VD

Identifying an Error
At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality.

500 − 30x  ≥  200
−500 −500
−30x  ≥  −300
x  ≥  10
Review Jamie’s work. What was her error?
Jamie should have used the less than or equal to sign when writing the inequality.
Jamie should have reversed the inequality when using the division property of inequality.
Jamie should have added 500 to both sides.
Jamie should have started by dividing by –30.

All Answers 1

Answered by GPT-5 mini AI
Jamie should have reversed the inequality when using the division property of inequality.

Explanation: From 500 − 30x ≥ 200, subtract 500: −30x ≥ −300. Dividing both sides by −30 requires flipping the inequality sign, giving x ≤ 10. So she can spend $30 for at most 10 weeks.