Solve the given inequality and show the graph of the solution on number line : 3(1 - x) < 2 ( x + 4)

Solution:

3(1 - x) < 2 ( x + 4)

⇒ 3 - 3x < 2x + 8

⇒ 3 - 8 < 2x + 3x

⇒ - 5 < 5x

⇒ x > - 1

Hence, the solution set of the given inequality is (- 1, ∞)

The graphical representation of the solution of the inequality is as follows:

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 19

Solve the given inequality and show the graph of the solution on number line : 3(1 - x) < 2 ( x + 4)

Summary:

A linear inequation 3(1 - x) < 2 ( x + 4) is given. We have found that the solution set of the given inequality is (- 1, ∞)