Q.7: Solve the inequality 3-2x2x-10.x (1,2,3,4,5,6)
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Answer:
2(2x+3)−10<6(x−2)
⇒4x+6−10<6x−12
⇒4x−4<6x−12
⇒−4+12<6x−4x
⇒8<2x
⇒4<x
Thus, all real numbers x, which are greater than 4, are the solution of the given inequality.
Hence, the solution set of the given inequality is )4,∞).
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