Question

Yuto and Hila attempted to solve the same inequality. Their work is shown below.

ANSWER IS A

Answer 1

Answer:A

Explanation:

Answer 2

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

Explanation:

The given inequality is
`- (2)/(3)x + 9 > 7` and we have to solve it.

Now,
`- (2)/(3)x + 9 > 7`

⇒
`- (2)/(3)x + 9 - 9 > 7 - 9`

⇒
`- (2)/(3)x > - 2`

⇒
`(-(3)/(2)) * ( - (2)/(3)x) < (- 2)* (- (3)/(2))`

⇒ x < 3 (Answer)

Therefore, Yuto is correct because he isolated the variable correctly and reversed the inequality symbol. (Answer)