Question

Given a = {1, 3, 5}, b = {2, 4, 6} and c={1, 2, 3, 4, 5, 6}, then a ∪ (b ∩
c. =

Answer 1

The union of set a and the intersection of set b and set c is {1, 2, 3, 4, 5, 6}.

Step-by-step explanation:

The question asks for the union (represented by the symbol ∪) of set a and the intersection (represented by the symbol ∩) of set b and set c.

The union of two sets is a set that contains all elements that are in either of the two sets. The intersection of two sets is a set that contains all elements that are common to both sets.

To find the union and intersection, we can use the given sets:

a = {1, 3, 5}, b = {2, 4, 6}, c = {1, 2, 3, 4, 5, 6}.

First, we find the intersection of b and c, which is {2, 4, 6}. Then, we take the union of a and the intersection of b and c, which gives us the final result: {1, 2, 3, 4, 5, 6}.

Answer 2

a ∪ (b ∩ c) = {1, 3, 5} ∪ {2, 4, 6} = {1, 2, 3, 4, 5, 6} = c