Exploring Sets and Their Operations

What is the union of sets A = {1, 2} and B = {2, 3}?

• {2, 3}

• {1, 2}

• {1, 3}

• {1, 2, 3}

If A = {x | x is an even number} and B = {x | x is a prime number}, what is A ∩ B?

• {3}

• {4}

• {6}

• {2}

Draw a Venn diagram to represent the union of sets A and B.

• Draw two circles labeled A and B with only the outer areas shaded.

• Draw a single circle labeled A that contains B.

• Draw two overlapping circles labeled A and B, shading the entire area covered by both circles.

• Draw two separate circles labeled A and B without overlapping.

What does the intersection of two sets represent?

• Elements unique to each set

• Elements that are not in either set

• All elements from both sets combined

• Common elements of both sets

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B?

• {3, 4}

• {1, 2, 5}

• {1, 2, 3, 4, 5}

• {1, 2, 3}

If A = {a, b, c} and B = {b, c, d}, what is A ∩ B?

• {b, c}

• {a, b}

• {a, d}

• {b, d}

How many elements are in the union of sets A = {1, 2} and B = {2, 3, 4}?

• 4

• 2

• 3

• 5

In a Venn diagram, how are the sets represented?

• Sets are represented by lines.

• Sets are represented by squares.

• Sets are represented by overlapping circles.

• Sets are represented by triangles.

If A = {1, 2, 3} and B = {1, 2, 3}, what is A ∩ B?

• {1, 2, 3}

• {1, 2}

• {2, 3}

• {1, 3}

What is the difference between union and intersection of sets?

• Union includes only common elements; intersection includes all unique elements.

• Union is the same as intersection; both include all elements.

• Union and intersection are both operations on the same set of elements.

• Union includes all unique elements; intersection includes only common elements.