Question

Solve for x.
Graph the solution.   
4x + 1 < 3x -2

Answer 1

To solve for x, we want to isolate x on one side of the inequality.

First, let's move all the terms with x to one side of the inequality:

4x - 3x + 1 < -2

Combine the x terms:

x + 1 < -2

Next, let's isolate x by subtracting 1 from both sides:

x + 1 - 1 < -2 - 1

Simplify:

x < -3

The solution to the inequality is x < -3.

To graph the solution, we would draw a number line and shade the region to the left of -3, representing all possible values of x that satisfy the inequality.