1971 AHSME Problems/Problem 6
Problem
Let be the symbol denoting the binary operation on the set of all non-zero real numbers as follows: For any two numbers and of , . Then the one of the following statements which is not true, is
Solution
Statement A is true.
Statement B is true.
Statement C is true.
Statement D is true.
Since the identity is , not 1, we can see that statement E is false.
Hence, the answer is .
-edited by coolmath34 -fixed by DoctorSeventeen
See Also
1971 AHSC (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 • 31 • 32 • 33 • 34 • 35 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.