Answer:
(D)
![x>-10](https://img.qammunity.org/2021/formulas/mathematics/high-school/ll8s1516sqsedd5h5ybe0hzx11ngf36fvo.png)
Explanation:
If we have the inequality
, we can simplify it down and get
isolated on one side of the equation.
Add 6 to both sides:
![-7x + 4 + 6 > -8x - 6 + 6\\\\-7x + 10 > -8x](https://img.qammunity.org/2021/formulas/mathematics/high-school/kzozmxkpbjquuconj4aj1qnuomor0kbl9b.png)
Add
to both sides of the inequality:
![-7x + 10 + 8x > -8x+8x\\\\x + 10 > 0](https://img.qammunity.org/2021/formulas/mathematics/high-school/ucuhxy2nl95psvjsuv6qpj88r9r5a6wczs.png)
Subtract 10 from both sides of the inequality:
![x + 10 - 10 > 0 - 10\\\\x > -10](https://img.qammunity.org/2021/formulas/mathematics/high-school/18a7jwbi6ut17s70cxkbkmtzgbjmxof1jb.png)
So (D)
is the correct simplification.
Hope this helped!