KnowledgeBoat Logo
LoginJOIN NOW

Mathematics

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.

Linear Inequations

15 Likes

Answer

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 > −92-\dfrac{9}{2}

⇒ 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 :

Solve the inequation 13x - 5 < 15x + 4 < 7x + 12, x ∈ R and write the solution set. Represent the solution on a real number line. Linear Inequations, Concise Mathematics Solutions ICSE Class 10.

Answered By

6 Likes

Related Questions