If P is the solution set of 7x-2>3x-1 and Q is the solution set of 5x -1 <_2(x+7) where x€N. Find the set of P ∩ Q

If P is the solution set of 7x-2>3x-1 and Q is the solution set of 5x -1 <_2(x+7) where x€N. Find the set of P ∩ Q

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Alice

1 thought on “If P is the solution set of 7x-2>3x-1 and Q is the solution set of 5x -1 <_2(x+7) where x€N. Find the set of P ∩ Q<br /><br”

  1. Step-by-step explanation:

    7x-2>3x-1

    7x-3x>-1+2

    4x>1

    x>1/4.

    and,

    5x-1<2(x+7)

    5x-1<2x+14

    5x-2x<14+1

    3x<15

    x<5

    so ,

    x is greater than 1/4 and less than 5.

    hence, the set P intersection Q={1/4,5}U{5, infinity}.

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