Difference between revisions of "1979 AHSME Problems/Problem 13"
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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
$\sqrt{x^2} = \pmx$ (Error compiling LaTeX. Unknown error_msg), so the inequality is just $y-x<\pmx$ (Error compiling LaTeX. Unknown error_msg). 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. 
