Solve the given inequality for real x : x + x/2 + x/3 < 11

Solution:

x + x/2 + x/3 < 11

⇒ x (1 + 1/2 +1/3) < 11

⇒ x (6 + 3 + 2)/6 < 11

⇒ 11/6 x < 11

⇒ 11x/(6 x 11) < 11

⇒ x/6 < 1

⇒ 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 9

Solve the given inequality for real x : x + x/2 + x/3 < 11

Summary:

A linear inequation x + x/2 + x/3 < 11 is given. We have found that the solution set of the given inequality is (- ∞, 6)