Question

Stephanie received a $100 birthday gift from her mom,

so she decided to go shopping the next day. She
bought a pair of sneakers for $45. She also wants to
buy some t-shirts that cost $11 each. So, she wrote and
solved an inequality that will help her determine how
many t-shirts (t) can she buy without going over her
budget. Describe and correct the error she made when
solving the inequality.

Describe and correct the error she made when solving the inequality.

Answer 1

Stephanie changed the inequality sign after division. The correct answer will be t ≤ 5.

Explanation:

Given that:

Amount of gift card received = $100

Inequality solved by Stephanie;

11t + 45 ≤ 100

11t + 45 - 45 ≤ 100 - 45

11t ≤ 55

`(11t)/(11)\leq (55)/(11)`

t ≥ 5

Stephanie did all the steps right but flipped the inequality at the end after division.

The inequality is flipped when it is divided by a negative number.

Hence,

Stephanie changed the inequality sign after division. The correct answer will be t ≤ 5.