Answer to Question #86907 in Algebra for sonali mansingh

Question

Let A = x{ ∈Z x is a multiple of 5} and B = x{ ∈Z x is a divisor of 20}.
Represent B,A and A B
c ∩ by the listing method and in a Venn diagram

Answer 1

Let A = {x ∈ Z | x is a multiple of 5};

A = {... , -30, -25, -20, -15, -10, -5, 0, 5, 10, 15, 20, 25, 30, ...}.

 

Let B = {x ∈ Z | x is a divisor of 20};

B = {-20, -10, -5, -4, -2, -1, 1, 2, 4, 5, 10, 20}.

Intersection of a set A with the complement of a set B is the difference of two sets A and B (see also a Venn diagram):

A ⋂ B^c = A - B = {... , -30, -25, -15, 0, 15, 25, 30, ...}.