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Correct Set Notation

1. Given the diagram below, find P ∩ Q. Write in correct set notation.

2. Write down all possible subsets of set P using correct set notation.

3. The cardinal number of the set {cat, dog, horse, fish, lizard, meerkat, rhinoceros, elephant, giraffe, platypus, hippopotamus, skunk, mouse} is _____

4. Given the following sets, select the statement below that is true.
A = {l, a, t, e, r}, B = {l, a, t, e}, C = {t, a, l, e}, D = {e, a, t}

A ⊂ C and C ⊂ A
B ⊆ D and D ⊆ B
D ⊆ C and C ⊆ A
D ⊂ A and B ⊆ D
A ⊆ C and C ⊂ A

5. Without writing them all out, what is the number of subsets of set A = {tongue, ear, mouth, eye, nose, cheek, forehead, neck, shoulder}?

6. Given the following set, select the statement below that is true.
A = {q, r, s, t, u}

p ∈ A
5 ∈ A
r ∉ A
s ∈ A
A Ø

7. Given these sets:
A = {1, 2, 3, 4}
B = {3, 4, 5, 6, 7}
C = {3, 5, 7, 9}

List the elements of this set
C (A ∩ B)

Do not skip to the answer. Show your work, step by step.

8. The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 68 said they had taken physics, 108 said they had taken chemistry and 12 said they had taken both. Nine said they had taken neither. How many recent high school grads were surveyed?

9. The President's Council on Fitness asked adults who exercise if they walk, run or stretch. Here is the Venn diagram of the results.

Of those adults surveyed, how many stretched?

10. A charity asked people attending a fundraiser cookout if they ate the salad, casserole or dessert. Here is the Venn diagram of the results.

Of those surveyed, how many people ate dessert, but not salad?

11. A Las Vegas casino surveyed 250 gamblers. The results are as follows:

124 played poker
96 played blackjack
51 played both

Construct a Venn diagram

Answer the following questions:

i. How many played only blackjack?
ii. How many played only poker?
iii. How many played either one or the other or both?
iv. How many played neither?

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Solution Summary

Given the diagram below, find P ∩ Q. Write in correct set notation.

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