Solve the following inequality and write down the solution set :
11x - 4 < 15x + 4 ≤ 13x + 14, x ∈ W
Represent the solution set on a real number line.

Question

Solve the following inequality and write down the solution set : 11x - 4 15x + 4 ≤ 13x + 14, x ∈ W Represent the solution set on a real number line.

KnowledgeBoat · Accepted Answer

Given, ⇒ 11x - 4 15x + 4 13x + 14 Solving L.H.S. of the inequation, ⇒ 11x - 4 15x + 4 ⇒ 15x + 4 11x - 4 ⇒ 15x - 11x -4 - 4 ⇒ 4x -8 ⇒ x ⇒ x -2 ..........(1) Solving R.H.S. of the inequation, ⇒ 15x + 4 13x + 14 ⇒ 15x - 13x 14 - 4 ⇒ 2x 10 ⇒ x ⇒ x 5 .......(2) From (1) and (2) we get, -2 x 5 Since, x ∈ W Hence, solution set = {0, 1, 2, 3, 4, 5}. Solution on the number line is :

Mathematics

Solve the following inequality and write down the solution set :
11x - 4 < 15x + 4 ≤ 13x + 14, x ∈ W
Represent the solution set on a real number line.

Linear Inequations

Related Questions

Given : P = {x : 5 < 2x - 1 ≤ 11, x ∈ R} and Q = {x : -1 ≤ 3 + 4x < 23, x ∈ I}. Represent P and Q on the number line. Find P ∩ Q.

Let A = {x ∈ R : 11x - 5 > 7x + 3} and B = {x ∈ R : 8x - 9 ≥ 15 + 2x}. Find A ∩ B and represent it on the number line.

Mathematics

Solve the following inequality and write down the solution set :11x - 4 < 15x + 4 ≤ 13x + 14, x ∈ WRepresent the solution set on a real number line.

Linear Inequations

Related Questions

Given : P = {x : 5 < 2x - 1 ≤ 11, x ∈ R} and Q = {x : -1 ≤ 3 + 4x < 23, x ∈ I}. Represent P and Q on the number line. Find P ∩ Q.

Let A = {x ∈ R : 11x - 5 > 7x + 3} and B = {x ∈ R : 8x - 9 ≥ 15 + 2x}. Find A ∩ B and represent it on the number line.

Solve the following inequality and write down the solution set :
11x - 4 < 15x + 4 ≤ 13x + 14, x ∈ W
Represent the solution set on a real number line.