Question

Solve: 5x – 3 < 3x + 1 when 

(i) x is an integer 

(ii) x is a real number.

Answer 1

Given: 5x – 3 < 3x + 1 

⇒ 5x – 3x <1 + 3

⇒ 2x<4 

⇒ x < 4/2 = 2

(i) When x ∈ Z, solution set ={…, -3, -2, -1, 0,1} 

(ii) When x ∈ M, solution set = (- ∞, 2).