Problem 26 - College Algebra Essentials

Question

Find the intersection of the sets. $$\\{0,1,3,5\\} \cap\\{-5,-3,-1\\}$$

Step-by-Step Solution

Answer

\( \emptyset \)

Step 1: Comparing Elements of the First Set

To find the intersection, compare the elements of the first set one at a time to each of the elements of the second set. So, for the first set {0,1,3,5}, check if 0,1,3 or 5 is present in the second set.

Step 2: Comparing Elements of the Second Set

Then, repeat the process with the second set. For {-5,-3,-1}, check if -5,-3, or -1 is present in the first set.

Step 3: Finding Intersection

As we have compared all elements of the first set to elements of the second set and vice versa, we see that there are no common elements. Hence, the intersection of the sets is an empty set.