To solve the inequality -7 + 4x > -3, we need to isolate x.
First, we add 7 to both sides:
-7 + 7 + 4x > -3 + 7
This simplifies to:
4x > 4
Then, we divide by 4:
(4x)/4 > 4/4
x > 1
So, the solution to the inequality is x > 1.