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Question
Solve and graph the solution set on a number line: `2/3"x" + 5 <= 1/2"x" + 6; "x" ∈ "W"`
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Solution
`2/3"x" + 5 <= 1/2"x" + 6`
`=> 2/3"x" xx 6 + 5 xx 6 <= 1/2 "x" xx 6 + 6 xx 6` ....(Multiplying both sides by 6)
⇒ 4x + 30 ≤ 3x + 36
⇒ 4x - 3x + 30 ≤ 3x - 3x + 36 ...(Substracting 3x from both sides)
⇒ x + 30 ≤ 36
⇒ x + 30 - 30 ≤ 36 - 30 ...(Substracting 30 from both sides)
x ≤ 6
∴ The required graph is:
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