Answer:
![x>7](https://img.qammunity.org/2022/formulas/mathematics/middle-school/zgzg9wl2xb0d7d32zgxh9kkwyf7t7dx11y.png)
Explanation:
We have the inequality
and we want to solve it for
.
1) Subtract 7 from both sides:
![3x + 7 -7>28-7](https://img.qammunity.org/2022/formulas/mathematics/college/phmj34rjuswt5p4cuvx4v2e72c7qtzmr7y.png)
2) Simplify by collecting the terms together:
![3x > 21](https://img.qammunity.org/2022/formulas/mathematics/college/vto68h5j2d2pgbybqqd942kc7bu3p3yqam.png)
3) Divide both sides by 3 to get
on it's own:
![(3x)/(3) >(21)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/1nz60lu3t5wo8mesi6nekiisfbtrg6klfo.png)
4) Simplify:
![x > 7](https://img.qammunity.org/2022/formulas/mathematics/college/f7y4kaxhxehqxz9aglbr42qay942f5c6nv.png)
So
must be greater than 7 for it to satisfy the inequality
.
If it is below or equal to 7, it does not work.