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Question
For the following inequation, represent the solution on a number line :
2(4 - 3x) ≤ 4(x - 5), x ∈ W
Solution
2(4 - 3x) ≤ 4(x - 5), x ∈ W
8 - 6x ≤ - 20 - 8
⇒ -6x - 4x ≤ - 20 - 8
⇒ -10x ≤ - 28
⇒ 10x ≥ 28
⇒ x ≥ `28/10`
⇒ x ≥ 2.8
∴ x = {3, 4, 5, ....}
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