4x+1 < 3x−4

1 answer

To solve the inequality 4x + 1 < 3x - 4, you need to isolate the variable x on one side of the inequality.

First, subtract 3x from both sides to eliminate x terms on the right side:

4x + 1 - 3x < 3x - 3x - 4

Simplify:
x + 1 < -4

Next, subtract 1 from both sides to continue isolating the variable:

x + 1 - 1 < -4 - 1

Simplify:
x < -5

Therefore, the solution to the inequality 4x + 1 < 3x - 4 is x < -5.