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Question
Solve and graph the solution set on a number line: `"x"/2 > -1 + "3x"/4; "x" ∈ "N"`
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Solution
`"x"/2 > -1 + "3x"/4`
`=> "x"/2 xx 4 > -1 xx 4 + "3x"/4 xx 4` ..(Multiplying both sides by 4)
⇒ 2x > -4 + 3x
⇒ 2x - 2x > - 4 + 3x - 2x ...(Subtracting 2x from both sides)
⇒ 0 > - 4 + x
⇒ 0 + 4 > - 4 + 4 + x ...(Adding 4 to both sides)
⇒ 4 > x
∴ The required graph is:
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