For all n E N, let An = {0, 2n, 4n, 6n, . . {x € Z|(3n E NU{0})(x = 2n)}. (a) Find (with proof) [U An. nEN (b) Find (with proof) N An. nEN

Q: {X> 3} fX | {X> 3} (

A: X ∼ exp (λ) PX>xX>3=PX>xX>3   ; X>30                         ; otherwise

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A: By the consequences of vector spaces we solve the given problem.

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Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 3, 4} %3D B = {x | {x - 2}^2 {x - 3 = 0}} %3D C= {x | x…

A: We have,U=1, 2, 3, 4, 5, 6, 7, 8A=1, 2, 3, 4B=x|x-22x-3=0C=x|x is oddThe following sets are…