Solve the given inequality for real x : 2(2x + 3) - 10 < 6 (x - 2)

Solution:

2(2x + 3) - 10 < 6 (x - 2)

⇒ 4x + 6 - 10 < 6x - 12

⇒ 4x - 4 < 6x - 12

⇒ 12 - 4 < 6x - 4x

⇒ 8 < 2x

⇒ x > 4

Thus, all real numbers x,

which are greater than 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 13

Solve the given inequality for real x : 2(2x + 3) - 10 < 6 (x - 2)

Summary:

A linear inequation 2(2x + 3) - 10 < 6 (x - 2) is given. We have found that the solution set of the given inequality is (4, ∞)