Solve - 12x > 30, when
(i) x is a natural number (ii) x is an integer

Solution:

The given inequality is - 12x > 30

⇒ - 12x > 30

⇒ - 12x/- 12 > 30/- 12 [Dividing both sides by same negative number]

⇒x < - 5/2

(i) There is no natural number less than (- 5/2)

Thus, when x is a natural number, there is no solution of the given inequality.

(ii) The integer less than (- 5/2) are ...., - 5, - 4, - 3.

Thus, when x is an integer,

the solutions of the given inequality are ...., - 5, - 4, - 3.

Hence, in this case, the solution set is {...., - 5, - 4, - 3}

NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 2

Solve - 12x > 30, when (i) x is a natural number (ii) x is an integer

Summary:

A linear inequation - 12x > 30 is given. We have found that in this case, the solution set is {...., - 5, - 4, - 3}