Sets and Venn Diagrams

Consider the following sets. U = {all real number points on a number line}A = {solutions to the inequality 3x + 4 ≥ 13}B = {solutions to the inequality x + 3 ≤ 4} For which values of x is A ⋃ B = Ø? 2 < x < 3 2 ≤ x ≤ 3 x ≤ 2 and x ≥ 3 x < 2 and x > 3

NOT x ≤ 2 and x ≥ 3 NOT 2<_x<_3

The universal set is the set of rational numbers. S is the set of integers. Which represents Sc? {x|x is a real number} {x|x is a rational number} {x|x is a rational positive number} {x|x is a rational non-integer}

NOT {x|x is a rational number}

Consider the following sets. U = {ordered pairs on a coordinate plane}A = {ordered pair solutions to y = x}B = {ordered pair solutions to y = 2x} Which ordered pair satisfies A ∩ B? (0, 0) (1, 1) (1, 2) (2, 1)

(0, 0)

The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent sides, while B represents parallelograms with four congruent angles. How many of the parallelograms fall into the category A U B? 6 8 18 26

NOT 8

Carrie is finding the set of even numbers within the set of prime numbers. Of the sets described, which is the universal set? all real numbers all integers prime numbers even numbers

NOT all real numbers NOT all integers

In the Venn diagram, consider U = {students in 10th grade at Lee High School}. The diagram shows the electives chosen by the students in the 10th grade. How many student chose to participate in the painting class? 8 11 14 17

17

If U = {all positive integers} and A = {x|x ∈ U and x is an odd positive integer}, which describes Ac? Ac = {x|x ∈ U and is a negative integer} Ac = {x|x ∈ U and is zero} Ac = {x|x ∈ U and is not an integer} Ac = {x|x ∈ U and is an even positive integer}

Ac = {x|x ∈ U and is an even positive integer}

The Venn diagram shows three types of numbers: odd (O), even (E), and prime (P). Which is represented by Ø? O ⋃ P E ∩ P O ⋃ E E ∩ O

E ∩ O

Consider U = {x|x is a negative real number}. Which is an empty set? {x|x ∈ U and x has a negative cube root} {x|x ∈ U and x has a negative square root} {x|x ∈ U and x is equal to the product of a positive number and -1} {x|x ∈ U and x is equal to the sum of one negative and one positive number}

NOT {x|x ∈ U and x is equal to the sum of one negative and one positive number} NOT {x|x ∈ U and x is equal to the product of a positive number and -1}

S is a subset within a universal set, U. If S = {x, y, 4, 9, ?}, which could describe U? U = {keys on a keyboard} U = {letters} U = {numbers} U = {punctuation marks}

U = {keys on a keyboard}

Which statements are true about x? Select three options. x ∈ B ⋃ C x ∈ B ∩ C x ∈ A ⋃ C x ∈ A ∩ C x ∈ A

∈ B ⋃ C x ∈ B ∩ C x ∈ A ⋃ C

The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish. How many people are in the set C ∩ D? 4 6 36 38

4

Consider U = {x|x is a real number}. A = {x|x ∈ U and x + 2 > 10}B = {x|x ∈ U and 2x > 10} Which pair of statements is true? 5 ∉ A; 5 ∈ B 6 ∈ A; 6 ∉ B 8 ∉ A; 8 ∈ B 9 ∈ A; 9 ∉ B

8 ∉ A; 8 ∈ B

On the Venn diagram, which region(s) represent the intersection of Set A and Set B (A∩B)? II I and III I, II, and III I, II, III, and IV

a.II