Solve the in equation
18 - 3 (2x - 5) > 12 ; x ∈ W.
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Solution:
Given,
→ 18 - 3(2x - 5) > 12, (x ∈ W)
We have to solve the given inequation.
→ 18 - 6x + 15 > 12, (x ∈ W)
→ 33 - 6x > 12, (x ∈ W)
Subtracting 12 from both sides, we get,
→ 33 - 12 - 6x > 12 - 12, (x ∈ W)
→ 21 - 6x > 0, (x ∈ W)
Adding 6x to both the sides, we get,
→ 21 - 6x + 6x > 0 + 6x, (x ∈ W)
→ 21 > 6x, (x ∈ W)
→ 6x < 21, (x ∈ W)
Dividing both sides by 6, we get,
→ 6x/6 < 21/6, (x ∈ W)
→ x < 7/2, (x ∈ W)
→ x < 3.5, (x ∈ W)
As x ∈ W,
→ x ={0, 1, 2, 3}
Answer:
- x ={0, 1, 2, 3}
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