Solve the given inequality for real x : 3(2 - x) ≥ 2 (1 - x)

Solution:

3(2 - x) ≥ 2 (1 - x)

⇒ 6 - 3x ≥ 2 - 2x

⇒ 6 - 3x + 2x ≥ 2 - 2x + 2x

⇒ 6 - x ≥ 2

⇒ 6 - x - 6 ≥ 2 - 6

⇒ - x ≥ - 4

⇒ x ≤ 4

Thus, all real numbers x,

which are less than or equal to 4, are the solutions of the given inequality.

Hence, the solution set of the given inequality is (- ∞, 4]

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 8

Solve the given inequality for real x : 3(2 - x) ≥ 2 (1 - x)

Summary:

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