- #1

- 4

- 0

## Homework Statement

I was trying to show that

1) |a+b|≤|a|+|b|

2) |a+b|≥|a|-|b|

and find out how they were true when a,b>0, a,b<0, and a>0,b<0

## Homework Equations

1) |a+b|≤|a|+|b|

2) |a+b|≥|a|-|b|

## The Attempt at a Solution

For |a+b|≤|a|+|b|

a,b>0

I got that |a+b|=a+b

|a|+|b|=a+b

so |a+b|=|a|+|b|

but I was confused when I was trying to solve when a,b<0, and a>0,b<0

please help!

Last edited: