Sets and Venn Diagrams: Assignment

Based on the Venn diagram, which of the following statements is correct?

C. Set D is a subset of set A.

Which of the following are true about x? Check all that apply.

B, C, D, E, F

Which of the following sets could be represented by the given Venn diagram?

C. S = {reptiles} T = {mammals}

Consider the following sets: P = {x | x is a parallelogram} C = {x | x is a circle} K = {x | x is a kite} R = {x | x is a rectangle} T = {x | x is a trapezoid} Which set is a subset of set P?

C. R

Which Venn diagram represents the set relationship A ⊂ B?

d (A is within B)

The results of a survey of common allergies was organized into a Venn diagram. Answer the questions about the following sets: D = {x | x is a person allergic to dogs}; C = {x | x is a person allergic to cats}; P = {x | x is a person allergic to pollen} How many people are not allergic to any of the three choices? How many people are allergic to all three choices? How many people are allergic to both dogs and cats but not allergic to pollen? How many people are allergic to cats only?

22 1 7 18

Westside High's 2015 senior-class science enrollment is summarized by the Venn diagram. Chemistry, biology, and physics class enrollments are denoted by the sets C, B, an P, respectively. How many students are in the 2015 senior class? How many students are taking chemistry and biology, but not physics? How many students are not taking science?

63 5 18

Which diagram represents the following sets? P = {x | x is an integer divisible by 2}; Q = {x | x is an odd integer}; R = {x | x is an integer divisible by 3}

A

Let U = {all integers}. Consider the following sets: A = {x | x ∈ U and x > 3} B = {x | x ∈ U and x is an even integer} C = {x | x ∈ U and 2x is an odd integer} D = {x | x ∈ U and x is an odd integer} Assuming 0 is an even integer, which set is the complement to set B? Which set is an empty set? Which set would contain the subset E = {1, 3, 5, 7}?

D C D