Sets and Venn Diagrams: Instruction

Given that the universal set is all real numbers and set S is defined as the set of all x such that x is less than 5, which of the following is the complement of S? S = {x | x < 5}

D. {x | x ≥ 5}

Consider the following sets: A = {x | x is alive} F = {x | x is in France} M = {x | x is a national monument} W = {x | x is a woman} Which statements are true regarding elements of the given sets? Check all that apply.

a,d,e -Paris ∈ F. -Abraham Lincoln belongs to none of these sets. -The Eiffel Tower is in more than one of these sets.

Consider the following sets: R = {x | x is the set of rectangles} P = {x | x is the set of parallelograms} T = {x | x is the set of triangles} I = {x | x is the set of isosceles triangles} E = {x | x is the set of equilateral triangles} S = {x | x is the set of scalene triangles} Which statements are correct? Check all that apply.

b, c, f - E is a subset of I. - S is a subset of T. - R ⊂ P

Refer to the Venn diagram for the following questions. What would best describe the universal set U? What would best describe set A? What would best describe A ∪ B? What would best describe A ⋂ B?

c a d c

Consider the following sets: U = {points on the coordinate plane} A = {solutions to the equation y = 2x + 5} B = {points on the line y = mx} For what value of m does A ∩ B = ∅?

m=2