MATH Quantitive Reasoning CH2

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

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.

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.

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 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.

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

U

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​}