Problem 26 - Algebra and Trigonometry

Question

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

Step-by-Step Solution

Answer

The intersection of the sets \(\{0,1,3,5\}\) and \(\{-5,-3,-1\}\) is \(\varnothing\) or \(\{\}\).

Step 1: Identify the sets

First, identify the sets in question. The first set is \(\{0,1,3,5\}\) and the second set is \(\{-5,-3,-1\}\).

Step 2: Find the intersection

Next, find the elements that appear in both sets. After comparison, it can be observed that there are no elements common to both sets.

Step 3: Write the solution

The intersection of these two sets is an empty set, denoted symbolically as \(\varnothing\) or \(\{\}\) . Since there are no elements common to both sets, the intersection is the empty set.