2011 AMC 10A Problems/Problem 7
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.
Section 1: This contains A,C,D as they are all squares or square roots. From skimming, we can get an answer as maybe C
Section 2: This contains B and E From skimming we can get we can get answer as maybe B
Now we can analyze and we see can become if and absolute value inequalities cannot be negative, so the answer is
Video Solution
~savannahsolver
See Also
2011 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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