SOLUTION: Suppose a,b,c,d are positive integers with a <= c <= d and c/d <= a/b. Prove that (a-b) <= (d-c).
Algebra
->
Inequalities
-> SOLUTION: Suppose a,b,c,d are positive integers with a <= c <= d and c/d <= a/b. Prove that (a-b) <= (d-c).
Log On
Algebra: Inequalities, trichotomy
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Inequalities
Question 731984
:
Suppose a,b,c,d are positive integers with a <= c <= d and c/d <= a/b. Prove that (a-b) <= (d-c).
Answer by
lynnlo(4176)
(
Show Source
):
You can
put this solution on YOUR website!
ab/dc=k
ab=k*dc
a=k*d
a/d=k