Solve the inequation given below and represent its solution set on a number line:
2x + 3 ≤ 3x + 1, x ∈ R
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⇒ 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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Solve the inequation given below. Write the solution set and represent it on the number line:
-3 < 2x - 1 < x + 4, x ∈ I