Solve the given inequality for real x : 3x - 7 > 5x - 1

Solution:

3x - 7 > 5x - 1

⇒ 3x - 7 + 7 > 5x - 1 + 7

⇒ 3x > 5x + 6

⇒ 3x - 5x > 5x + 6 - 5x

⇒ - 2x > 6

⇒ - x > 3

⇒ x < - 3

Thus, all real numbers x,

which are less than - 3, are the solutions of the given inequality.

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

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 6

Solve the given inequality for real x : 3x - 7 > 5x - 1

Summary:

A linear inequation 3x - 7 > 5x - 1 is given. We have found that the solution set of the given inequality is (- ∞, - 3)