Question

Yuto and Hila attempted to solve the same inequality. Their work is shown below. Which statement is true about the work shown above? Yuto is correct because he isolated the variable correctly and reversed the inequality symbol. Yuto is incorrect because he should not have reversed the inequality symbol. Hila is correct because she isolated the variable correctly and reversed the inequality symbol. Hila is incorrect because she should not have reversed the inequality symbol.

Answer 1

A yuto is correct

Explanation:

Answer 2

Explanation:

The photo for the question is not given. I have searched and attached it.

From the attached photo, the inequality is

-2x/3 + 9 > 7

By simplifying, subtract 9 from both sides of the inequality. It becomes

-2x/3 + 9 - 9 > 7 - 9

- 2x/3 > - 2

Multiplying both sides of the inequality by - 3/2, the inequality symbol would change due to the negative sign. It becomes

- 2x/3 × 3/2 < - 2 × - 3/2

x < 3

Therefore,

Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.