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in Class VIII Maths by (-3,443 points)

Solve and graph the solution set on a number line:

5x + 4 > 8x – 11 ; x ∈ Z

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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)

⇒ 5   > x

∴ The required graph is :

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