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Let P be the solution of setof 3x+1>x-3 and is Q be the solution of 5x+2<=3(x+2),x belongs to n .Find the setP intersection Q
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x€N 3x-1>x-3 =>3x-x>-3-1 =>2x > -4 =>x>-2 So, P={1,2,3,...,n} 5x+2<3x+6 => 5x-3x<6-2 =>2x<4 =>x<2 So,Q={1} P intersection Q ={1}✓
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