Question 824140: Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is false?
X U Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}
X ∩ Y = {15, 33, 1025}
Ø ⊂ (X U Y)
Answer by jsmallt9(3758)   (Show Source):
You can put this solution on YOUR website! "U" indicates a union of sets.
"set1 U set2" is a reference to a third set which is composed of all the elements of set1 and set2 which are elements of either set1 or set2 or are elements of both set1 and set2.
X U Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}
is a false statement because it is missing 88 which is an element of set Y.
∩ indicates an intersection of sets
"set1 ∩ set2" is a reference to a third set which contains only those elements which are members of both set1 and set2.
X ∩ Y = {15, 33, 1025}
is a true statement because 15, 33 and 1025 are the only elements of X and Y which are elements of both X and Y.
"Ø" is a symbol used to indicate an empty set.
"⊂" is a symbol which says "is a subset of"
Ø ⊂ (X U Y)
is a true statement because the empty set is considered a subset of sets.
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