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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Answered by
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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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Answer:
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