Chapter 4.1, Problem 27MR

To determine

To find: intersection $A\cap C$ .

Answer to Problem 27MR

The final answer is $A\cap C=\left\{1,4\right\}$

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,

  $\begin{array}{c}A\cap C=\left\{-3,1,4\right\}\cap \left\{1,4,7,12\right\}\\ =\left\{1,4\right\}\end{array}$