Solve the following inequation and write the solution set : 13x - 5 15x + 4 7x + 12, x ∈ R Represent the solution on a real number line.

Given, 13x - 5 15x + 4 7x + 12 Solving L.H.S. of the inequation ⇒ 13x - 5 15x + 4 ⇒ 15x - 13x -5 - 4 ⇒ 2x -9 ⇒ x ⇒ x -4.5 .........(i) Solving R.H.S. of the inequation ⇒ 15x + 4 7x + 12 ⇒ 15x - 7x 12 - 4 ⇒ 8x 8 ⇒ x 1 ........(ii) From (i) and (ii) we get, -4.5 x 1 ∴ Solution set = {x : -4.5 x 1, x ∈ R} Solution on the number line is :