2011 AMC 10A Problems/Problem 7
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Problem 7
Which of the following equations does NOT have a solution?
Solution 1
has no solution because absolute values output positives and this equation implies that the absolute value could output a negative.
Further:
is true for
is true for
is true for
is true for
Therefore, the answer is .
Solution 2
Instead of solving, we can just categorize and solve.
[hide=Section 1] This contains $\mathrm{(A),(C),(D)} [/hide]
See Also
2011 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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All AMC 10 Problems and Solutions |
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