Mathematics
If x is a real number and 7(x -2 ) + 2 > 2(5x + 9). Draw the solution set on the number line.
Linear Inequations
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Answer
7(x - 2) + 2 > 2(5x + 9)
⇒ 7x - 14 + 2 > 10x + 18
⇒ 7x - 12 > 10x + 18
⇒ - 18 - 12 > 10x - 7x
⇒ - 30 > 3x
⇒ - > x
⇒ - 10 > x
∵ As x is a real number.
Hence, solution set = {x = ……., - 12, - 11,}.
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