Solve the given inequality for real x : x/3 > x/2 + 1

Solution:

x/3 > x/2 + 1

⇒ x/3 - x/2 > 1

⇒ 2x - 3x > 1

⇒ - x/6 > 1

⇒ - x > 6

⇒ x < - 6

Thus, all real numbers x, which are less than - 6, are the solutions of the given inequality.

Hence, the solution set of the given inequality is (- ∞, - 6)

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 10

Solve the given inequality for real x : x/3 > x/2 + 1

Summary:

A linear inequation x/3 > x/2 + 1 is given. We have found that the solution set of the given inequality is (- ∞, - 6)