NCERT Solution Class XI Mathematics Linear Inequalities Question 1 (Ex 6.1)

Question 1:

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

Answer

The given inequality is 24x < 100

24x < 100

 

(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 inequality are 1, 2, 3, and 4.

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

(ii) The integers less than 25/6 are … 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}.

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