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WorksheetsTheory of Sets
Total questions: 11
Worksheet time: 6mins
How do you the formal description for "a set containing all natural numbers that are greater than 5" ?
{ n | n ∈ N and n < 5 }
{ n | n ∈ N and n > 5 }
{ n | n ⊆ N and n > 5 }
{ n | n ⊂ N and n < 5 }
What does this statement means? A - B = { x | x ∈ A and x ∉ B }
A union B, which consists of x, which is member of A or x is member of B
A minus B, which consists of x, which is member of A and x is member of B
A minus B, which consists of x, which is member of A and x is not member of B
A minus B, which consists of x, which is member of A or x is member of B and x is
not member of both A and B.
Let A be the set {x,y,z} and B be the set {x,y}. Is A a subset of B?
True
False
Let A be the set {x,y,z} and B be the set {x,y}. Is B a subset of A?
True
False
Let A be the set {x,y,z} and B be the set {x,y}. What is A ∪ B?
{x,y,z}
{x,y}
{x}
{y}
Let A be the set {x,y,z} and B be the set {x,y}. What is A ∩ B ?
{x}
{y}
{x,y}
{x.y.z}
Let A be the set {x,y,z} and B be the set {x,y}.
A x B = {(x,x), (x,y), (y,x), (y, y), (z, x), (z, y)}
True
False
Let A be the set {x,y,z} and B be the set {x,y}. What is he power set of B ?
{∅}
{{x,y}}
{{x},{y},{x,y}}
{ ∅, {x},{y},{x,y}}
Let the universal set U = {0,1,2,3,4,5,6,7} and X = {2, 3, 4} and Y = {1, 4, 5}.
What is ( X ∪ Y ) ' ?
{0,6,7}
{1,2,3,4,5}
{0,1,2,3,4,5,6,7}
{∅}
Let X = {1,2,3} and Y = {0,2,4}.
What is X - Y (the complement of Y relative to X) ?
{0,4}
{0,1,3,4}
{1,3}
{0,1,2,3,4}
What out all the elements for
∪ { {a}, {a,b}, ∩ { {c,d}, {d,e,f} } }
{a,b,d}
{∅}
{a,b,c,d,e,f}
{a,a,b,c,d,d,e,f}
