Q1. If A = {x | x is an even integer}, B = {x | x is an odd integer}, C = {2, 3, 4, 5}, and D = {22, 23, 24, 25}, list the element(s) of the set A ∩ D.

Background

Topic: Set Theory – Intersection of Sets

This question tests your understanding of how to find the intersection of two sets, which is a foundational concept in set theory and intermediate algebra. The intersection of two sets includes all elements that are present in both sets.

Key Terms and Formulas

• Set: A collection of distinct objects, considered as an object in its own right.

• Intersection ( ∩ ): The set of elements that are common to both sets A and B.

• Notation: means the intersection of sets A and D.

Formula for Intersection:

Step-by-Step Guidance

1. List the elements of set A. Since A is the set of all even integers, you can write it as .

2. List the elements of set D. From the problem, .

3. Identify which elements in set D are also even integers (i.e., which elements of D are also in A).

4. Write the intersection set by including only those elements from D that are even.

Try solving on your own before revealing the answer!