Solve the inequalities and represent the solution graphically on number line
5x + 1 > - 24, 5x - 1 < 24

Solution:

5x + 1 > - 24

⇒ 5x > - 25

⇒ x > - 5 ....(1)

⇒ 5x - 1 < 24

⇒ 5x < 25

⇒ x < 5 ....(2)

From (1) and (2), we get, - 5 < x < 5

Hence, it can be concluded that the solution set for the given system of inequalities is (- 5, 5)

The solution of the given system of inequalities can be represented on the number line as

NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 7

Solve the inequalities and represent the solution graphically on number line. 5x + 1 > - 24, 5x - 1 < 24

Summary:

Linear inequations 5x + 1 > - 24, 5x - 1 < 24 is given. We have found that the solution set for the given inequality is (- 5, 5)