Question

A=(x\-3≤x<4, X £R) B =[x\x <5,x£N]
C=[-5,-3, -1, 0, 1, 3] then verify
A intersection (B Union C) =(A intersection B) union (A intersection C) ​

Answer 1

Step-by-step explanation:

here

A ={ -3,-2,-1,0,1,2,3}

B= {4,3,2,1,0,-1,-2......}

C,= {-5,-3,-1,0,1,3}

LHS=

A intersection (B union C)

= A intersection {.........,-5,-4,-3,-2,-1,0,1,2,3,4,5}

= { -3,-2,-1,0,1,2,3} intersection {.........,-5,-4,-3,-2,-1,0,1,2,3,4,5}

= {-3,-2,-1,0,1,2,3}

RHS

= (A intersection B) union ( A intersection C)

= [{ -3,-2,-1,0,1,2,3} intersection {4,3,2,1,0,-1,-2......}] union [{ -3,-2,-1,0,1,2,3} intersection. {-5,-3,-1,0,1,3}]

= {-3,-2,-1,0,1,2,3} union { -3,-1,0,1,3}

= {-3,-2,-1,0,1,2,3}

As, LHS = RHS

Hence verified

hope it helps ✌