course Mth 151
6/6 1
Question: `q2.2.24 U={a,b,...,g}, A={a,e}, B={a,b,e,f,g}, C={b,f,g}, D={d,e} Is C ps U?
Is the statement true or false and why?
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Your solution:
This statement is true because all elements of set C are also in the universal set and are elements of U that aren’t in C.
3
Ok
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Question: `qQuery 2.2.30 phi s D
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Your solution:
The empty set is a subset of any set.
3
Ok
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Question: `q2.2.33 D not s B
Is the statement true or false and why?
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Your solution:
True because set D contains at least one element, d in this case, that set B doesn’t.
3
Ok
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Question: `q2.2.36 there are exactly 31 subsets of B
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Your solution:
2^5 = 32. This statement is false; although there are 31 proper subsets of B, there are 32 subsets of B.
3
Ok
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Question: `qQuery 2.2.40 there are exactly 127 proper subsets of U
Is the statement true or false and why?
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Your solution:
2^7= 128 – 1 = 127 proper subsets of U. This statement is true.
3
Ok
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Question: `qQuery 2.2.48 U={1,2,...,10}, complement of {2,5,7,9,10}
What is the complement of the given set?
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Your solution:
The complement is the set of all elements that are in U but not in the given set is {1, 3, 4, 6, 8}
3
Ok
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Question: `qquery 2.2.63 in how many ways can 3 of the five people A, B, C, D, E gather in a suite?
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Your solution:
{A, B, C}, {A, B, D}, {A, B, E}, {A, C, D}, {A, C, E}, {A, D, E}, {B, C, D}, {B, C, E}, {B, D, E}, {C, D, E} There are 10 ways 3 of the 5 people can gather in a suite.
3
Ok
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