Question

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

Answer 1

Given, −12x>30.

Solve for x,

−12x>30 x< 30 −12 x<− 5 2

(i)

Given, x is a natural number.

When x belongs to natural number, that is x∈N, x=1,2,3,4....

Thus, there is no solution of given inequality.

(ii)

Given, x is an integer.

When xbelongs to integer number, that is x∈Z, x=..,−3,−2,−1,0,1,2,3,4,...

Therefore, solution set is { ...,−6,−5,−4,−3 }.