Short Answer Questions 2 — Question 21

Given,

5(2 - 4x) > 18 - 16x > 22 - 20x

Solving L.H.S. of the above equation :

⇒ 5(2 - 4x) > 18 - 16x

⇒ 10 - 20x > 18 - 16x

⇒ -16x + 20x < 10 - 18

⇒ 4x < -8

⇒ x < $-\dfrac{8}{4}$

⇒ x < -2 ...........(1)

Solving R.H.S. of the above equation :

⇒ 18 - 16x > 22 - 20x

⇒ 20x - 16x > 22 - 18

⇒ 4x > 4

⇒ x > $\dfrac{4}{4}$

⇒ x > 1 ............(2)

From equation (1) and (2), we get :

Solution set : {x : x < -2 or x > 1, x ∈ R}

Hence, solution set = {x : x < -2 or x > 1, x ∈ R}.