Solve the inequation given below. Write the solution set and represent it on the number line:
2 ≤ 2x - 3 ≤ 5, x ∈ R

Question

Solve the inequation given below. Write the solution set and represent it on the number line: 2 ≤ 2x - 3 ≤ 5, x ∈ R

KnowledgeBoat · Accepted Answer

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

Mathematics

Solve the inequation given below. Write the solution set and represent it on the number line:
2 ≤ 2x - 3 ≤ 5, x ∈ R

Linear Inequations

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Solve the inequation given below. Write the solution set and represent it on the number line:2 ≤ 2x - 3 ≤ 5, x ∈ R

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