Answer:
Homework #1-18: Answer yes or no, if no give the reason
1) Is A ⊆ B given A = silver, B = {gold, silver, diamond}
A is not a set, so it can’t be a proper subset.
Answer: no, because A is not a set
3) Is C ⊆ D given C = {Phoenix}, D = {Phoenix, Glendale, Peoria, Scottsdale}
I need two rules to work.
C is a set so rule 1 is satisfied.
Every element of C is also an element of D, so rule 2 is satisfied.
Answer: yes
5) Is A ⊆ B given A = {2,3} , B = {1,2,3,4,5}
I need two rules to work.
A is a set so rule 1 is satisfied.
Every element of A is also an element of B, so rule 2 is satisfied.
Answer: yes
7) Is A ⊆ B given A = a, B = {| }
A is not a set, so it can’t be a proper subset.
Answer: no, because A is not a set
9) Is A ⊆ B given A = { }, B = {1,2,3,4,5}
Answer yes: the empty set is a subset of every set.
11) Is S ⊂ T given, S= ∅, T = {1,2,3,4,5}
Answer yes: the empty set is a subset of every set.
13) Is A ⊂ B given A = {1,2,3}, B = {3,2,1}
This is not a true statement. The sets are equal and this symbol does not allow sets to be equal.
Answer: no, sets are equal
15) Is C ⊂ D given C = {1,2,3,4,5}, D = {1,2,3,4}
Answer: no, C is not contained in D, so this is not true
17) Is A ⊂ B given A = {4,3,2,1 }, B = {1,2,3,4,5}
A is a set so rule 1 is satisfied,
A is contained in B so rule 2 is satisfied
A is not equal to B so rule 3 is satisfied
Answer: yes (all 3 rules are satisfied)
Homework #19 – 34: Determine which of these are true. (Choose every answer that is true, in
many instances there will be more than one correct choice.)
A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or none of these
19) A = {Trix, Captain Crunch, Rice Krispees} B = {Rice Krispees}
B is contained, but not equal to A. B is both a subset and a proper subset of A.
A is not contained in B
The sets are not equal.
Answer: B ⊆ A, B ⊂ A
Step-by-step explanation:
here all of it
