Answer
The solution set is {x|x $\gt$ 7} , or (7,$\infty$) in interval notation.
Work Step by Step
We use the properties of inequalities to solve this problem.
4x - 6 $\gt$ 3x + 1
4x - 3x $\gt$ 1 + 6
x $\gt$ 7
The solution set is {x|x $\gt$ 7} , or (7,$\infty$) in interval notation.