Question

3.Solve 5x - 3<7, when(i) x is an integer.(ii) x is a real number.

Answer 1

Given, 5x−3<7.

Solve for x,

5x−3<7 5x−3+3<7+3 5x<10 x<2

(i)

Given, x is an integer.

All the integers less than 2 are the solutions of inequality.

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

(ii)

Given, xis a real number.

All the real numbers less than 2 are the solutions of inequality.

Therefore, the solution set is ( −∞,2 ).