Answer
The solution set is {x|x $\lt$ 0} , or (-$\infty$, 0) in interval notation.
Work Step by Step
-4 $\gt$ 7(x-1) + 3
Use the distributive property.
-4 $\gt$ 7x - 7 + 3
-4 $\gt$ 7x -4
Subtract -4 from both sides.
0 $\gt$ 7x
Divide both sides by 7.
0 $\gt$ x
The solution set is {x|x $\lt$ 0} , or (-$\infty$, 0) in interval notation.