If x ∈ Z, solve : 2 + 4x 2x - 5 3x. Also, represent its solution on the real number line.

Given, ⇒ 2 + 4x 2x - 5 3x Solving L.H.S. of the above inequation : ⇒ 2 + 4x 2x - 5 ⇒ 4x - 2x - 5 - 2 ⇒ 2x -7 ⇒ x ⇒ x -3.5 ..........(1) Solving R.H.S. of the above inequation : ⇒ 2x - 5 3x ⇒ 3x - 2x -5 ⇒ x -5 .............(2) From (1) and (2), we get : -5 x -3.5; Since, x ∈ Z Hence, x = {-5, -4}.