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Solve the inequation given below and represent its solution set on a number line: 2x + 3 ≤ 3x + 1, x ∈ R

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Question

Solve the inequation given below and represent its solution set on a number line:

2x + 3 ≤ 3x + 1, x ∈ R

Sum
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Solution

Given,

⇒ 2x + 3 ≤ 3x + 1

⇒ 3x – 2x ≥ 3 – 1

⇒ x ≥ 2

Since, x ∈ R

Hence, solution set = {x : x ≥ 2, x ∈ R}.

Solution on the number line is:

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Chapter 4: Linear Inequations - EXERCISE 4 [Page 41]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 4 Linear Inequations
EXERCISE 4 | Q 10. | Page 41
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