Answer:
Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.
Step-by-step explanation:
The given inequality is [tex]- \frac{2}{3}x + 9 > 7[/tex] and we have to solve it.
Now, [tex]- \frac{2}{3}x + 9 > 7[/tex]
⇒ [tex]- \frac{2}{3}x + 9 - 9 > 7 - 9[/tex]
⇒ [tex]- \frac{2}{3}x > - 2[/tex]
⇒[tex](-\frac{3}{2}) \times ( - \frac{2}{3}x) < (- 2)\times (- \frac{3}{2})[/tex]
⇒ x < 3 (Answer)
Therefore, Yuto is correct because he isolated the variable correctly and reversed the inequality symbol. (Answer)
