SOLUTION: The sets B and C are defined as follows... B = {v | v is less than or equal to 1} C = {v | v is less than 9} Write B∪C and B∩C using interval notation. If the

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Question 1052422: The sets B and C are defined as follows...

B = {v | v is less than or equal to 1}
C = {v | v is less than 9}
Write B∪C and B∩C using interval notation. If the set is empty, write ∅
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

B = {v | v is less than or equal to 1}

B has this number line graph:

<===============☻---------------------------------
-4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12

C = {v | v is less than 9}

C has this number line graph:

<=======================================o---------
-4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12

To find B∪C put them together and include everything
that is in one set or the other or both:

<===============☻
<=======================================o---------
-4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12

All of B is included in C, so the answer is just the
same as C, and the interval notation is



Notice the parenthesis ")" on the right because 9 is NOT
included.]

To find B∩C put ONLY include everything
that is in both sets:

<===============☻
<=======================================o---------
-4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12

We cannot include the interval from 1 to 9 because it
is not in BOTH sets.  All of C is included in B, so the 
answer is just the same as B, and the interval notation 
is:



Notice the bracket "]" on the right because 1 IS
included.]

Edwin
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