1979 AHSME Problems/Problem 13: Difference between revisions
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Solution by e_power_pi_times_i | Solution by e_power_pi_times_i | ||
<math>\sqrt{x^2} = \pm x</math>, so the inequality is just <math>y-x<\pm x</math>. Therefore we get the two inequalities <math>y<0</math> and <math>y<2x</math>. Checking the answer choices, we find that <math>\boxed{\textbf{(A) } y<0\text{ or }y<2x\text{ (or both inequalities hold)}}</math>. | <math>\sqrt{x^2} = \pm x</math>, so the inequality is just <math>y-x<\pm x</math>. Therefore we get the two inequalities <math>y<0</math> and <math>y<2x</math>. Checking the answer choices, we find that <math>\boxed{\textbf{(A) } y<0\text{ or }y<2x\text{ (or both inequalities hold)}}</math> is the answer. | ||
== See also == | == See also == | ||
Latest revision as of 12:05, 6 January 2017
Problem 13
The inequality 
is satisfied if and only if
Solution
Solution by e_power_pi_times_i
, so the inequality is just 
. Therefore we get the two inequalities 
and 
. Checking the answer choices, we find that 
is the answer.
See also
| 1979 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
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| All AHSME Problems and Solutions | ||
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