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Question
Solve and graph the solution set on a number line: 5x + 4 > 8x – 11 ; x ∈ Z
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Solution
5x + 4 > 8x – 11
⇒ 5x - 5x + 4 > 8x - 5x - 11 ..(Subtracting 5x from both sides)
⇒ 4 > 3x - 11
⇒ 4 + 11 > 3x - 11 + 11 ...(Adding 11 to both sides)
⇒ 15 > 3x
⇒ `15/3` > `"3x"/3` ...(Dividing both sides by 3)
⇒ 5 > x
∴ The required graph is:
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