Chapter 4.1, Problem 26MR

To determine

To find: union $B\cup C$ .

Answer to Problem 26MR

The final answer is $B\cup C=\left\{-1,1,3,4,5,7,9,12\right\}$

Explanation of Solution

Given information : We have given that $A=\left\{-3,1,4\right\}$ , $B=\left\{-1,1,3,5,7,9\right\}$ and $C=\left\{1,4,7,12\right\}$

We know that the union of sets is a set which has all of the elements of sets while the intersection of sets is a type of set that has only common elements of sets.

Therefore,

  $\begin{array}{c}B\cup C=\left\{-1,1,3,5,7,9\right\}\cup \left\{1,4,7,12\right\}\\ =\left\{-1,1,3,4,5,7,9,12\right\}\end{array}$