3x - 4 > 4x - 8 simplify

x < 4

Explanation:

Inequalities

The inequalities relate expressions using signs different from the equal sign, like "<" or "<" among others.

They can be treated as a normal equation but in case of directional relationals, care must be taken when multiplying or dividing by negative numbers.

The inequality given in the question is

3x - 4 > 4x - 8

Subtracting 3x in both sides

3x - 4 - 3x > 4x - 8 - 3x

Simplifying

-4 > x - 8

Adding 8

-4 + 8 > x - 8 + 8

Simplifying

4 > x

The solution comes by flipping both sides and the inequality sign

x < 4