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Question
For the following inequation, represent the solution on a number line :
3(2x -1) ≥ 2(2x + 3), x ∈ Z
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Solution
3(2x -1) ≥ 2(2x + 3), x ∈ Z
⇒ 6x - 3 ≥ 4x + 6, x ∈ Z
⇒ 6x - 4x ≥ 6 + 3
⇒ 2x ≥ 9
⇒ x ≥ `9/2`
⇒ x ≥ `4 1/2`
∴ x = {5, 6, 7, ....}
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