Math 1100 2.2 Homework
For the given set, first calculate the number of subsets for the set, then calculate the number of proper subsets. { 1, 5, 3, 15 } The number of subsets is The number of proper subsets is
16 15
The number of subsets of a set with n elements is _______.
2^n
The number of distinct proper subsets of a set with n elements is _______.
2^n-1
Calculate the number of subsets and the number of proper subsets for the given set. { x | x ∈ N and 4<x<10 } number of subsets number of proper subsets
32 31
Calculate the number of subsets and proper subsets for the following set. {x | x is a side of a hexagon} The number of subsets is The number of proper subsets is
64 63
The statement ∅⊆B tells us that ______ is a ______ of every set.
the empty set subset
Determine whether the given statement is true or false. {9}∈{ {9}, {16} }
true
Determine whether the following statement is true or false. {Malaysia}⊆{Malaysia, Philippines, Indonesia, Micronesia} The statement is______ because the symbol ⊆ means _______ and "{Malaysia}" is ______the given set.
true "is a subset of" a subset of
Determine whether the following statement is true or false. Bart∈{Homer, Marge, Bart, Lisa} The statement is ______ because the symbol ∈ means ______ and "Bart" is _____ the given set.
true "is an element of" an element of
List all the subsets of the given set. {blackberry, strawberry, fig}
A. {}, {blackberry}, {strawberry}, {fig}, {blackberry, strawberry}, {blackberry, fig}, {strawberry,fig}, {blackberry strawberry, fig}
Set A is a proper subset of set B, expressed as ______ , means that set A is a subset of set B and _____.
A⊂B sets A and B are not equal
Fill in the blank so that the resulting statement is true. Set A is a subset of set B, expressed as _______, means that _______. A. Set A is a subset of set B, expressed as A⊂B, means that every element in set A is also an element in set B and sets A and B are not equal (A≠B). B. Set A is a subset of set B, expressed as A⊆B, means that every element in set A is also an element in set B. C. Set A is a subset of set B, expressed as A⊂B, means that every element in set A is also an element in set B. D. Set A is a subset of set B, expressed as A⊆B, means that every element in set A is also an element in set B and sets A and B are not equal (A≠B).
B. Set A is a subset of set B, expressed as A⊆B, means that every element in set A is also an element in set B.
Determine whether ⊆, ⊂, both, or neither can be placed in the blank to make the statement true. {x x∈N and 5<x< 9} ___ The set of all natural numbers between 5 and 9 A. only ⊂ B. only ⊆ C. both ⊆ & ⊂ D. None of the above
B. only ⊆
List all the subsets of the given set. {b, r, w}
B.{}, {b}, {r}, {w}, {b, r}, {b, w}, {r, w}, {b, r, w}
Determine whether ⊆, ⊂, both, or neither can be placed in the blank to make the statement true. {x x∈N and 5<x< 10}______ {x x∈N and 3≤x≤ 9}. A. only ⊂ B. only ⊆ C. both ⊆ & ⊂ D. None of the above
C. both ⊆ & ⊂
Insert ⊆ or ⊈ so that the resulting statement is true. ∅___{w, x, y, z}
⊆
Select ⊆ or ⊈ for the blank so that the resulting statement is true. { 4, 3, 6 } ___ { 1, 2, ..., 7 }
⊆
Write ⊆ or ⊈ in each blank so that the resulting statement is true. ∅_______{1,2,3,4,...}
⊆
Select ⊆ or ⊈ for the blank so that the resulting statement is true. { −5, 0, 5 } ___ { −5, −3, 3, 5 }
⊈
Write ⊆ or ⊈ in each blank so that the resulting statement is true. {x|x is a dog}_______{x|x is a white dog}
⊈