7+8x>−9
= 8x>−9−7
This simplifies to:
8x>−16
Now, divide both sides by the coefficient of x, which is 8:
$$ \frac{8x}{8}>-\frac{16}{8} $$
x>−2
So, the solution to the inequality 7+8x>−9 is x>−2. This means that any value of x greater than -2 makes the inequality true.