Question

4.Solve 3x +8 >2, when(i) x is an integer.(ii) x is a real number.

Answer 1

Given, 3x+8>2.

Solve for x,

3x+8>2 3x>2−8 3x>−6 x>−2

(i)

Given, x is an integer.

The solutions of inequality are all integers greater than −2.

Therefore, the solution set is { −1,0,1,2,3,4,..... }.

(ii)

Given, xis a real number.

All the real numbers greater than −2 are the solutions of given inequality.

Therefore, solution set is ( −2,∞ ).