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

Answer

N/a

Explanation

Given inequation : 24x lt 100
`rArr (24x)/(24)lt (100)/(24) rArr xlt (100)/(24)`
(i) If x is a natural number .
`:. X lt(100)/(24) and x in N`.
x= 1, 2, 3, 4
`:. Solution = {1, 2, 3, 4)`
(ii) If x is an integer
`:' x lt (100)/(24)` and x is an integer.
then x = ..., -3, -2 , -1, 0, 1, 2, 3, 4
`:.` Solution = { ..., -3 , -2, -1, 0, 1, 2, 3, 4}