Problem 25
Question
Find the intersection of the sets. $$\\{1,3,5,7\\} \cap\\{2,4,6,8,10\\}$$
Step-by-Step Solution
Verified Answer
Since there are no common elements in the two sets, the intersection of the two sets is an empty set, denoted as {} or \(\emptyset\).
1Step 1: Identify the Sets
The two sets that are given in the problem are \(\{1,3,5,7\}\) and \(\{2,4,6,8,10\}\)
2Step 2: Compare the Elements in the Sets
Next, list out the elements in each set and compare them to find any common elements. The elements in the first set are \(1, 3, 5, 7\) and the elements in the second set are \(2, 4, 6, 8, 10\)
3Step 3: Identify Common Elements
After comparing the elements in both sets, it is observed that there are no common elements between the two sets.
Other exercises in this chapter
Problem 24
Find each product. $$(7 x+4)(3 x+1)$$
View solution Problem 24
Use the quotient rule to simplify the expressions in Exercises \(23-32\) Assume that \(x>0\) $$\sqrt{\frac{1}{49}}$$
View solution Problem 25
Simplify each exponential expression. $$x^{0} y^{5}$$
View solution Problem 25
Factor each trinomial, or state that the trinomial is prime. $$3 x^{2}-25 x-28$$
View solution