5-2 Inequalities And Triangles

5-2 Inequalities and Triangles

4 + 3 = 8

4+3=8 In any addition problem with positive numbers…

...the SUM will always be greater than …………………either of the ADDENDS.

Or in other words… a > b if and only if there exists a positive number c such that a = b + c

Makes sense, hard to explain! ketchup cause a stain,

but I can’t complain… You wanna know about pain?

DANG! Well, I got tattoos on my brain….

Remember?

2

1+

+

m

1

=3

4

m

2=

m

4

m 2

1+

m

2 =m 4

Therefore: m

4

> m >

m

1

and

m

1

3

4

4

2

WOW.

Wait, there’s more!

In a triangle, the side opposite the largest angle is the longest side… …and vice-versa

• That’s it.