MYP Mathematics, SETS

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MYP Mathematics, SETS

How can we find the intersection $A\cap B$,
the Union $A\cup B$,
the complement of set A
where $A=\{2,4,5,8,11\} ,B=\{2,3,4,5,6,10\} \and\ U=\{1,2,3,4,5,6,7,8,9,10,11\}$

Thanks
Lucas

Posts: 0
Joined: Mon Jan 28, 2013 8:05 pm

Re: MYP Mathematics, SETS

MYP Mathematics, Sets

When we say that B is a subset of A $B\subseteq A$
then every element of B is also in A.
The complement of a set A, denoted A’ or $A^c$ is the set of all elements of U(Universal set) which are not in A.
The Intersection $A\cap B$
consists of all elements common to both A and B
The Union $A\cup B$
consists of all elements in A or B (or both A and B)
Mutually Exclusive sets called the sets that do not have common elements ($A\cap B =\emptyset$)

Thus for your questions we have that

the Intersection $A\cap B=\{2,4,5\}$

the Union $A\cup B=\{2,3,4,5,6,8,10,11\}$

the complement of set A $A^c =\{1,3,6,7,9,10\}$

hope these help
miranda

Posts: 268
Joined: Mon Jan 28, 2013 8:03 pm

Re: MYP Mathematics, SETS

miranda wrote:MYP Mathematics, Sets

When we say that B is a subset of A $B\subseteq A$
then every element of B is also in A.
The complement of a set A, denoted A’ or $A^c$ is the set of all elements of U(Universal set) which are not in A.
The Intersection $A\cap B$
consists of all elements common to both A and B
The Union $A\cup B$
consists of all elements in A or B (or both A and B)
Mutually Exclusive sets called the sets that do not have common elements ($A\cap B =\emptyset$)

Thus for your questions we have that

the Intersection $A\cap B=\{2,4,5\}$

the Union $A\cup B=\{2,3,4,5,6,8,10,11\}$

the complement of set A $A^c =\{1,3,6,7,9,10\}$

hope these help :) :)

Thank you miranda!!
Lucas

Posts: 0
Joined: Mon Jan 28, 2013 8:05 pm