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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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