1992 AJHSME Problems/Problem 3
Revision as of 21:43, 3 October 2009 by 5849206328x (talk | contribs) (Created page with '==Problem== What is the largest difference that can be formed by subtracting two numbers chosen from the set <math>\{ -16,-4,0,2,4,12 \}</math>? <math>\text{(A)}\ 10 \qquad \te…')
Problem
What is the largest difference that can be formed by subtracting two numbers chosen from the set ?
Solution
To maximize anything of the form , we maximize
and minimize
. The maximal element of the set is
and the minimal element is
, so the maximal difference is
See Also
1992 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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 | ||
All AJHSME/AMC 8 Problems and Solutions |