Difference between revisions of "2011 AMC 10B Problems/Problem 8"
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The beach not being crowded only means that it is not both hot and sunny. Equivalently, it is either cool or cloudy, which means <math>\boxed{\textbf{(B)}}</math> is correct. | The beach not being crowded only means that it is not both hot and sunny. Equivalently, it is either cool or cloudy, which means <math>\boxed{\textbf{(B)}}</math> is correct. | ||
| − | It could be in fact cool and sunny, which would violate '''(A)''' and '''(E)'''. It could also be cool and cloudy, which would violate '''(D)''', or | + | It could be in fact cool and sunny, which would violate '''(A)''' and '''(E)'''. It could also be cool and cloudy, which would violate '''(D)''', or hot and cloudy, which would violate '''(C)'''. |
== See Also== | == See Also== | ||
Revision as of 22:18, 2 January 2017
Problem
At a certain beach if it is at least 
and sunny, then the beach will be crowded. On June 10 the beach was not crowded. What can be concluded about the weather conditions on June 10?
Solution
The beach not being crowded only means that it is not both hot and sunny. Equivalently, it is either cool or cloudy, which means 
is correct.
It could be in fact cool and sunny, which would violate (A) and (E). It could also be cool and cloudy, which would violate (D), or hot and cloudy, which would violate (C).
See Also
| 2011 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
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