Question

Solve the given inequality and show the graph of the solution on number line:

3x – 2 < 2x +1

Answer 1

Given inequality, 3x – 2 < 2x + 1

Putting 2x on left side and 2 on right side,

3x – 2x < 1 + 2

or x < 3

∴ Solution is x ∈ (- ∞, 3]

The graphical representation of the solutions of the given inequality is as follows.