MATH Quantitive Reasoning CH2

Let B= {h, m, n, p, q}, and D= {g, q}. Determine if the statement below is true or false.

The statement is false because not every element of set D is contained in set B.

Let U= {a, b, c, d, f, g, h} and A= {f, g}, Determine if the statement below is true or false.

The statement is true because every element of set A is contained in U and A≠U.

Insert is a subset of⊆ or is not a subset of⊈ in the blank so that the resulting statement is true. {1, 2, 15/5} _____ the set of rational numbers

⊆

Insert is a subset of⊆ or is not a subset of⊈ in the blank so that the resulting statement is true. {Friday, Wednesday}_______{Friday, Saturday, Sunday, Monday, Tuesday}

⊈

Determine whether is a subset of⊆​, is a proper subset of⊂​, ​both, or neither can be placed in the blank to make the statement true. {4, 11, 9} _____ {4, 11, 9, 12}

both ⊈ and ⊆

Find (a) the number of subsets and (b) the number of proper subsets of the set. {x | x is an even integer between -7 and 5}

(a)64 (b)63

Match the set ∅ with the appropriate description.

The set ∅ is the complement of U.

The table, shown on the right, lists trees that are in two city parks. Find the smallest universal set U that contains all the listed trees of both parks.

a,d,e,h,o,p,w

Match the sets {p}, {q}, and 0/ with the appropriate description.

The sets​ {p}, {q}, and ∅ are the proper subsets of​ {p, q}.

Match the set​ {a, b} with the appropriate description.

The set​ {a, b} is the complement of​ {c, d}, if U=​{a,b, c,​ d}.

Find ​(a) the number of subsets and ​(b) the number of proper subsets of the set. The set of days of the week.

a, the number of subsets is - 128 b, the number of proper is - 127

Let B = {f, k, m, n, p} and D= {h,f}. Determine if the statement below is true or false. D⊈B

. The statement is true because not every element of set D is contained in set B.

Let U= {1,3,5,7,9,11,13,15,17,19} and find the complement of the set ∅

U

The table, shown on the right, lists trees that are in two city parks. Find the smallest universal set U that contains all the listed trees, R to be the set of trees in Riverside Park, and S to be the set of trees in sleepy Hollow Park. Find R.

o,s

Find (a) the number of subsets and (b) the number of proper subsets of the set. {x | x is an odd natural number less than or equal to 4}

(a)4 (b)3

Let A= }a, b} and B= {a, b, c, d, h}. Determine if the statement below is true or false.

. The statement is true because every element of set A is contained in set B and A≠B.

AnnMarie, Bonita, Chloe, Daniel, Ed, and Felicia plan to meet at the hospitality suite after the CEO makes his speech at the sales meeting. Denoting these six people by A, B, C, D, E, and F list all the possible sets of this group in which six people show up.

A,B,C,D,E,F

Describe the following list of sets. {p}, {q}, {p, q}, /0

The subsets of {p, q}

The table, shown on the right, lists trees that are in two city parks. Let U= {Sycamore, Willow, Pine, Aspen, Elm, Cherry, Maple} be the smallest possible set that includes all the trees listed. R be the set of trees in Riverside Park, and S be the set of trees in Sleepy Hollow Park. Find the set common in both sets R and S.

∅

Determine whether is a subset of⊆​, is a proper subset of⊂​, ​both, or neither can be placed in the blank to make the statement true. {2, 5, 8, 11, 14}_____{14, 8, 5, 2 11}

⊆

Insert is a subset of⊆ or is not a subset of⊈ in the blank so that the resulting statement is true. {9, 10}____{10, 2, 8, 4, 9, 0}

⊆

Insert is a subset of⊆ or is not a subset of⊈ in the blank so that the resulting statement is true. ∅_____{p,q,r,s,t}

⊆

Determine whether is a subset of⊆​, is a proper subset of⊂​, ​both, or neither can be placed in the blank to make the statement true. ∅_____∅

⊆​

Insert is a subset of⊆ or is not a subset of⊈ in the blank so that the resulting statement is true. {-7, 2, 9}_____{x|x is an odd integer}

⊈

Let U=​{t,u,v,w,x,y,z}, Upper A=​{w,y​}, Upper B=​ {w,v}, Upper C=​{t,x,v​}, and D=​{z,t,v,x,w​}. Tell whether the statement below is true or false. U is the universal set. ∅⊂D

True

Tell whether the statement below is true or false. U is the universal set. Let U = {t, u, v, w, x, y, z}, A= {t, z}, D={w,y} C= {t,v,z}, B= {t,v,w,x,z}. The Euler diagram on the right correctly represents the relationship among sets C, A, and U.

True

Let A= {6, 7, 8, 9, 10, 12, 13, 14}. a. How many subsets does A have? b. How many proper subsets does A have?

a. 256 b. 255

Determine whether is a subset of⊆​, is a proper subset of⊂​, ​both, or neither can be placed in the blank to make the statement true. ∅_____(0)

both

Determine whether is a subset of⊆​, is a proper subset of⊂​, ​both, or neither can be placed in the blank to make the statement true. {14/13, 15/10}_____{13/14, 10/15}

neither

Determine whether is a subset of⊆​, is a proper subset of⊂​, ​both, or neither can be placed in the blank to make the statement true. {2, 3, 4, 5}_____{3, 4, 5, 6}

neither

Tell whether the statement below is true or false. U is the universal set. Let U = {t, u, v, w, x, y, z}, A={w,y}, B= {t, w, z, x, v}, C={t, x, v} and D= {v, w} There are exactly 7 subsets of C.

False

Tell whether the statement below is true or false. U is the universal set. Let U = {t, u, v, w, x, y, z}, A={w,y}, B= {v, z, x, t, w}, C = {x, v, t} and D= {w, v}. There are exactly 10 proper subsets of B.

False

Let U= {3,5,6,8,11,12,15,17,19}. Determine the compliment of the set {3,6,12,15,17}.

{5,8,11,19}

Insert is a subset of⊆ or is not a subset of⊈ in the blank so that the resulting statement is true. ​{−4​,3​,4​} ____ {−4​,−3​, 3​, 4​}

​{−4​,3​,4​} ⊆ {−4​,−3​, 3​, 4​}