Solve 24x < 100, when
(i) x is a natural number (ii) x is an integer
Solution:
The given inequality is 24x < 100,
24x < 100
⇒ 24x / 24 < 100 / 24 [Dividing both sides by same positive number]
⇒ x < 25/6
(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 inequalities are 1, 2, 3, and 4.
Hence, in this case, the solution set is {1, 2, 3, 4}
(ii) The integer less than 25/6 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}
NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 1
Solve 24x < 100, when (i) x is a natural number (ii) x is an integer
Summary:
A linear inequation 24x < 100 is given. We have found that in this case, the solution set is{-3, - 2, - 1, 0, 1, 2, 3, 4}
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