Open Middle®
Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the inequality true.
Hint
What are the properties of exponents? How do they relate?
Answer
There are many possible solutions, one is: x^7/x^5 < x^(9/3) < x^8/x^2
Source: Bryan Anderson
It appears that we are assuming that x>1. So the answer provided is not true if x=1/2 for example.
What if x=1? Then they’re all equal…