MATH 1332 Section 1C

MATH 1332 Section 1C

Sets and Venn Diagrams

Multiple Choice

Decide whether each of the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

7. The people who live in Chicago form a subset of those who rent apartments in Chicago.

• Makes sense. (True)

• Doesn't make sense (False)

Multiple Choice

Decide whether each of the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

9. I counted an irrational number of students in my statistics class.

• Makes sense. (True)

• Doesn't make sense (False)

Multiple Choice

Classifying Numbers. Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers that contains each of the following numbers.

13. 888

• natural number

• whole number

• integer

• rational number

• real number

Multiple Choice

Classifying Numbers. Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers that contains each of the following numbers.

15. 3/4

• natural number

• whole number

• integer

• rational number

• real number

Multiple Choice

Classifying Numbers. Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers that contains each of the following numbers.

19. π

• natural number

• whole number

• integer

• rational number

• real number

Fill in the Blanks

Set Notation. Use set notation (braces) to write the members of the following sets, or state that the set has no members. You may use three dots (…) to indicate patterns.

29. The dates of July

Fill in the Blanks

Set Notation. Use set notation (braces) to write the members of the following sets, or state that the set has no members. You may use three dots (…) to indicate patterns.

33. The perfect squares between 10 and 40.

Venn Diagrams for Two Sets. Draw Venn diagrams with two circles showing the relationship between the following pairs of sets. Provide an explanation of the diagram you draw.

37. teachers and women

Sets should be overlapping.

Neither set is a subset of the other.

Venn Diagrams for Two Sets. Draw Venn diagrams with two circles showing the relationship between the following pairs of sets. Provide an explanation of the diagram you draw.

43. teenagers and octogenarians

Makes sure your sets are disjoint! (separated)

^{61. Use the Venn diagram to answer the following questions.}

• a. How many people at the party are under 30?

• b. How many women at the party are not under 30?

• c. How many men are at the party?

• d. How many people are at the party?

^{61. Use the Venn diagram to answer the following questions.}

• a. How many people at the party are under 30?

• 15 + 16 = 31

^{61. Use the Venn diagram to answer the following questions.}

• b. How many women at the party are not under 30?

• 28

^{61. Use the Venn diagram to answer the following questions.}

• c. How many men are at the party?

• 22 + 15 = 37

^{61. Use the Venn diagram to answer the following questions.}

• d. How many people are at the party?

• 22 + 15 + 16 + 28 = 81

63.

• a. How many people at the conference are employed men with a college degree?

• b. How many people at the conference are unemployed women?

• c. How many people at the conference are employed women without a college degree?

• d. How many women are at the conference?

63.

• a. How many people at the conference are employed men with a college degree?

• 16

63.

• b. How many people at the conference are unemployed women?

• 4 + 20 = 24

63.

• c. How many people at the conference are employed women without a college degree?

• 8

63.

• d. How many women are at the conference?

• 4 + 20 + 8 + 11 = 43

b. How many patients took pain medication or blood ­pressure medication?

b. How many patients took pain medication or blood ­pressure medication?

22 + 16 + 8 + 24 +20 +15 = 105

c. How many patients took blood pressure medication but not antibiotics?

c. How many patients took blood pressure medication but not antibiotics?

8 + 16 = 24

d. How many patients took (at least) blood pressure medication?

d. How many patients took (at least) blood pressure medication?

15 + 8 + 20 + 16 = 59

e. How many patients took only pain medication?

e. How many patients took only pain medication?

22

f. How many patients took exactly two medications?

f. How many patients took exactly two medications?

15 + 16 + 24 = 55