A++ solution
123mathtutor
Select the correct Venn diagram for each of these combinations of the sets A, B, and C.
a) A∪(B∩C)
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b) A∩B—∩C
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c) (B−A)∪(C−A)∪(C−B)
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Find the sets A and B if A−B={2,5,6,9}, B−A={1,11}, and A∩B={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 Z+×Z+ 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 Z+×Z+ and the range is Z. |
7 years ago
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