# Solve 24x < 100, when

(i) x is a natural number (ii) x is an integer

**Solution:**

The given inequality is 24x < 100,

24x < 100

⇒ 24x / 24 < 100 / 24 [Dividing both sides by same positive number]

⇒ x < 25/6

**(i)** It is evident that 1, 2,3, and 4 are the only natural numbers less than 25/6

Thus, when x is a natural number,

the solutions of the given inequalities are 1, 2, 3, and 4.

Hence, in this case, the solution set is {1, 2, 3, 4}

**(ii)** The integer less than 25/6 are ..... - 3, - 2, - 1, 0, 1, 2, 3, 4

Thus, when x is an integer,

the solutions of the given inequality are ....., - 3, - 2, - 1, 0, 1, 2, 3, 4

Hence, in this case, the solution set is{-3, - 2, - 1, 0, 1, 2, 3, 4}

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 1

## Solve 24x < 100, when (i) x is a natural number (ii) x is an integer

**Summary:**

A linear inequation 24x < 100 is given. We have found that in this case, the solution set is{-3, - 2, - 1, 0, 1, 2, 3, 4}