Solve and graph the solution set on a number line: (2/3)x + 5 ≤ (1/2)x + 6 ; x ∈ W

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asked May 25 in Class VIII Maths by muskan15 (-3,403 points)

Solve and graph the solution set on a number line:

(2/3)x + 5 ≤ (1/2)x + 6 ; x ∈ W

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1 Answer

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answered May 25 by navnit40 (-4,678 points)

(2/3)x + 5 ≤ (1/2)x + 6

⇒ (2/3)x  × 6 + 5 × 6 ≤ (1/2)x × 6 + 6 × 6

(Multiplying both sides by 6)

⇒ 4x + 30 ≤ 3x + 36

⇒ 4x – 3x + 30 ≤ 3x – 3x + 36

(Subtracting 3x from both sides)

⇒ x + 30 – 30 ≤ 36 – 30

(Subtracting 30 from both sides)

x ≤ 6

∴ The required graph is :

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