List the solution set of the inequation 1/2+8x>5x-3/2,x€z

List the solution set of the inequation 1/2+8x>5x-3/2,x€z

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  1. Answer:

    Given inequation,

    2

    1

    +8x>5x−

    2

    3

    ⇒8x−5x>−

    2

    3

    2

    1

    ⇒3x>−

    2

    4

    ⇒x>−

    3

    2

    As x∈Z

    The solution set is {0,1,2,3,4,5,…}

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