Numerical inequalities
Answers are for parents and teachers.
1
Compare 5/6 and 7/9.
5/6 > 7/9
2
Compare -1.2 and -5/4.
-1.2 > -5/4
3
Compare (x - 3)² and x² - 6x + 8.
(x - 3)² > x² - 6x + 8, because the difference is 1
4
Prove x² + 1 ≥ 2x.
x² + 1 - 2x = (x - 1)² ≥ 0
5
How do we prove a > b with a difference?
Compute a - b and show it is positive.