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Mathematics

Solve the linear inequation, write down the solution set and represent it on the real number line :

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

Linear Inequations

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Answer

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 < −84-\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 > 44\dfrac{4}{4}

⇒ x > 1 …………(2)

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

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

Solve the linear inequation, write down the solution set and represent it on the real number line : Maths Competency Focused Practice Questions Class 10 Solutions.

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

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