P={x:6<3x−9<12,x∈R}Q={x:−1≤3+4x≤35,x∈Z} The elements of P∩Q = .
A
{-1, 0,1,2,3,4,5,6}
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B
{-1,0,1,2,3}
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C
{6}
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D
{5}
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Solution
The correct option is C {6} For P 3x -9 > 6 3x > 9+6 3x > 15 x>153 x > 5 , x ∈ R ............(1) 3x -9 < 12 3x < 21 x < 7, x in Z ..............(2) Hence, P∩Q = {6}.