NCERT Solutions
Class 11 Maths
Linear Inequalities

Ex.6.1 Q.1
Solve 24x < 100, when
(1) x is a natural number
(2) x is an integer
The given inequality is 24x < 100
=> x <
=> x <
(1) It is evident that 1, 2, 3, and 4 are the only natural numbers less than
Thus, when x is a natural number, the solutions of the given inequality are 1, 2, 3, and 4.
Hence, in this case, the solution set is {1, 2, 3, 4}.
(2) The integers less than 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}.