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Deepak Bora
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If P is the solution set of -3x+4< 2x-3, x∈N, and Q is the solution set of 4x-5<12, x∈W, find (i) P∩Q   (ii) Q-P.

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Solve this question from Linear Inequations chapter ICSE syllabus.

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2 Answers

  1. −3x+4<2x−3

    ⇒−3x−2x<−3−4

    ⇒−5x<−7

    ⇒x>

    5

    7

     

    As x∈N

    The solution set P is {2,3,4,5,…}

     

    And

    4x−5<12

    ⇒4x<12+5

    ⇒4x<17

    ⇒x<

    4

    17

     

    As x∈W

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

     

    Therefore,

    (i) P∩Q={2,3,4}

    (ii) Q−P={0,1}

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