Question

Solve 24x < 100 when

(i) x is a natural number

(ii) x is an integer

Answer 1

Here 24x < 100 Dividing both sides by 24, we have $x<\frac{100}{24}\Rightarrow x<\frac{25}{6}$

(i) When x is a natural number then values of x that make the statement true are 1,2,3,4, The solution set of inequality is {1,2,3,4}.

(ii) When x is an integer then values of x that make the statement true are...., -2,-1,0, 1,2,3,4.

The solution set of inequality is {....,-2,-1,0,1,2,3,4}