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Sum
Solve the inequation 18 – 3 (2x – 5) > 12; x ∈ W.
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Solution
18 – 3 (2x – 5) > 12; x ∈ W.
⇒ 18 - 6x + 15 > 12
⇒ 33 - 12 > 6x
⇒ 21 > 6x
⇒ 6x < 21
⇒ x < `21/6 + 7/2 = 3 1/2`
But x ∈ W, x = 0, 1, 2, 3
∴ Solution set = {0, 1, 2, 3}
Concept: Replacement Set and Solution Set
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