Select the correct Venn diagram for each of these combinations of the sets A, B, and C.

 

a) A(BC)

 

   

 

   

 

   

 

   

 

   

 

 

b) AB—∩C

 

   

 

   

 

   

 

   

 

   

 

 

c) (BA)(CA)(CB)

 

   

 

   

 

   

 

   

 

   

 

 

 

Find the sets A and B if AB={2,5,6,9}, BA={1,11}, and AB={3,7,8}.

 

   

A={1,11},B={2,5,6,9}

   

A={1,3,7,8,11},B={2,3,5,6,7,8,9}

   

A={2,3,5,6,7,8,9},B={1,3,7,8,11}

   

A={},B={}

   

A={2,5,6,9},B={1,11}

 

 

 

 

 

 

 

 

 

Why is f not a function from R to R if

 

a) f(x)=1x?

 

 

   

f(x) is not well-defined because there are two distinct values assigned to each x.

   

f(x) is not defined for x<0.

   

f(0) is not defined.

 

 

b) f(x)=x−−√?

 

 

   

f(x) is not well-defined because there are two distinct values assigned to each x.

   

f(x) is not defined for x<0.

   

f(0) is not defined.

 

 

 

 

Find the domain and range of the function that assigns to each pair of positive integers the first integer of the pair.

 

   

The domain is ZZ+ and the range is Z+.

   

The domain is Z+ and the range is Z+.

   

The domain is Z×Z and the range is Z+.

   

The domain is Z and the range is Z.

   

The domain is ZZ+ and the range is Z.

 

 

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