Topic 3 - Inequalities

Question 1

Define: Absolute Value

Answer 1

The positive part of a real number.

|x|= ± x

Question 2

State: Triangle Inequality

Answer 2

|x + y| ≤ |x|+|y|

Question 3

State: Reverse Triangle Inequality

Answer 3

||x|-|y|| ≤ |x - y|

Question 4

State: Binomial Inequality

Answer 4

If x ≥ −1, then (1+x)^(n) ≥ 1+nx