Named Inequalities flashcards
8 practice cards drawn from the Named Inequalities lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Named Inequalities lessons in full →
Do these three lengths close into a triangle?
no, the two shorter sides add up to at most the longest
from “The Triangle Inequality”
Two sides of a triangle are 8 and 11. What is the largest whole number the third side could be?
18
from “The Triangle Inequality”
Take a = 49 and b = 1. Which is the arithmetic mean?
25
from “The Arithmetic Mean–Geometric Mean Inequality”
Take a = 4 and b = 1. Which is the arithmetic mean?
2.5
from “The Arithmetic Mean–Geometric Mean Inequality”
Two vectors have lengths 2 and 3. What is the largest possible size of their dot product?
6
from “The Cauchy–Schwarz Inequality”
Two vectors have lengths 5 and 4. What is the largest possible size of their dot product?
20
from “The Cauchy–Schwarz Inequality”
Which of these grows fastest as n gets large?
from “Polynomial, Exponential and Logarithmic Growth”
Why does raising the power in not save it against ?
it only delays the crossing
from “Polynomial, Exponential and Logarithmic Growth”