Solve the given inequality and show the graph of the solution on number line: 3x - 2 < 2x + 1

Solution:

3x - 2 < 2x + 1

⇒ 3x - 2x < 1 + 2

⇒ x < 3

Hence, the solution set of the given inequality is (- ∞, 3)

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

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 17

Solve the given inequality and show the graph of the solution on number line: 3x - 2 < 2x + 1

Summary:

A linear inequation 3x - 2 < 2x + 1 is given. We have found that the solution set of the given inequality is (- ∞, 3)