Solve the given inequality for real x : 4x + 3 < 5x + 7

Solution:

4x + 3 < 5x + 7

⇒ 4x + 3 - 7 < 5x + 7 - 7

⇒ 4x - 4 < 5x

⇒ 4x - 4 - 4x < 5x - 4x

⇒ - 4 < x

⇒ x > - 4

Thus,

all real numbers x, which are greater than - 4, are the solutions to the given inequality.

Hence, the solution set of the given inequality is (- 4, ∞)

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 5

Solve the given inequality for real x : 4x + 3 < 5x + 7

Summary:

A linear inequation 4x + 3 < 5x + 7 is given. We have found that the solution set of the given inequality is (- 4, ∞)