Question

UNION = U IT MEANS AND what applies to both categories

upside down U means OR
The sets I and F are given below.
=I=1,2,3,5
=F=−2,1,3,4,5
Find the union of I and F.
Find the intersection of I and F.
Write your answers using set notation (in roster form).

ANSR
I and

Answer 1

The union of sets I and F is {1,2,3,5,-2,4}, which includes all the distinct elements from both sets. The intersection of I and F is {1,3,5}, which includes only those elements that are in both sets.

Step-by-step explanation:

The student is asking about set theory, specifically the concepts of union and intersection of two sets. The set I is {1,2,3,5}, and the set F is {-2,1,3,4,5}. To find the union of I and F, which is the set of elements that are in I or F or both, we combine all the elements without repetition, which gives us the set {1,2,3,5,-2,4}. The intersection of I and F, which includes elements that are present in both sets, results in {1,3,5}. Using set notation in roster form the answers are:

Union of I and F: {1,2,3,5,-2,4}

Intersection of I and F: {1,3,5}

The union of sets I and F consists of all the elements that are in either set I or set F, or both. In set notation, we can represent the union as I ∪ F. To find the union of I and F, we list all the elements that are present in either set I or set F. In this case, the union of I and F is {1, 2, 3, 4, 5}.

The intersection of sets I and F consists of all the elements that are present in both set I and set F. In set notation, we can represent the intersection as I ∩ F. To find the intersection of I and F, we list all the elements that are common to both sets I and F. In this case, the intersection of I and F is {1, 3, 5}.