Question

if alex got a higher grade than Ethan, and Harrison got a lower grade than Ethan, than Harrison got a lower grade than Alex. True or False? Give a single counterexample if false and 2 examples if true

Answer 1

This is true!

Explanation:

Alex got the highest grade of the three boys. Ethan got the middle grade, and Harrison got the lowest.

Let's say that they each got a grade out of 100. These are the boys, in order, by their grade:

Alex - 100%

Ethan - 50%

Harrison - 0%

Now you see that if you take out Ethan, Alex still has a higher grade than Harrison.