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Question
Solve and graph the solution set on a number line: 8x – 9 > 35 – 3x ; x ∈ N
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Solution
8x – 9 ≥ 35 – 3x
⇒ 8x + 3x - 9 ≥ 35 - 3x + 3x ...(Adding 3x to both sides)
⇒ 11x - 9 ≥ 35
⇒ 11x - 9 + 9 ≥ 35 + 9 ..(Adding 9 to both sides)
⇒ 11x ≥ 44
⇒ `"11x"/11 ≥ 44/11` ...(Dividing both side by 11)
⇒ x ≥ 4
∴ The required graph is:
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