Difference between revisions of "1979 AHSME Problems/Problem 13"
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Solution by e_power_pi_times_i | Solution by e_power_pi_times_i | ||
| − | <math>\sqrt{x^2} = \ | + | <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>. |
== See also == | == See also == | ||
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 
.
See also
| 1979 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
