Solve the given inequality and show the graph of the solution on number line: x/2 ≥ (5x - 2)/3 - (7x - 3)/5

Solution:

x/2 ≥ (5x - 2)/3 - (7x - 3)/5

⇒ x/2 ≥ (25x - 10 - 21x + 9)/15

⇒ x/2 ≥ (4x - 1)/15

⇒ 15x ≥ 8x - 2

⇒ 15x - 8x ≥ - 2

⇒ 7x ≥ - 2

⇒ x ≥ - 2/7

Hence, the solution set of the given inequality is [- 2/7, ∞)

The graphical representation of the solution of the given inequality is as follows:

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 20

Solve the given inequality and show the graph of the solution on number line: x/2 ≥ (5x - 2)/3 - (7x - 3)/5

Summary:

A linear inequation x/2 ≥ (5x - 2)/3 - (7x - 3)/5 is given. We have found that the solution set of the given inequality is [- 2/7, ∞)