Question

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

Answer 1

Given, 24x < 100.

Solve for x,

24x<100 x< 100 24 x< 25 6

(i)

Given, x is a natural number.

The natural numbers less than 25 6 are 1, 2, 3 and 4.

Therefore, solution set is { 1,2,3,4 }.

(ii)

Given, xis an integer.

When xbelongs to integer number, that is x=...,−4,−3,−2,−1,0,1,2,3,4.

Therefore, the solution set is { ...,−4,−3,−2,−1,0,1,2,3,4 }.