Difference between revisions of "1980 AHSME Problems/Problem 6"
Claudiafeng (talk | contribs) |
(→Solution) |
||
| (One intermediate revision by one other user not shown) | |||
| Line 9: | Line 9: | ||
<math> \sqrt{x}< 2x \\ x < 4x^2 \\ 0 < x(4x-1) \\ 0 < 4x-1 \\ 1 < 4x \\ x >\frac{1}{4} \\ \boxed{(A)}</math> | <math> \sqrt{x}< 2x \\ x < 4x^2 \\ 0 < x(4x-1) \\ 0 < 4x-1 \\ 1 < 4x \\ x >\frac{1}{4} \\ \boxed{(A)}</math> | ||
| + | Note: You can also draw a rough sketch. | ||
== See also == | == See also == | ||
{{AHSME box|year=1980|num-b=5|num-a=7}} | {{AHSME box|year=1980|num-b=5|num-a=7}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 14:40, 20 March 2018
Problem
A positive number 
satisfies the inequality 
if and only if
Solution
Note: You can also draw a rough sketch.
See also
| 1980 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 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. 
