Hello, im trying to demonstrate this:
Knowing: [MATH]|a+b| \leq |a|+|b|[/MATH]I have to demonstrate that: [MATH]|a-b| \leq |a-c|+|c-b|[/MATH]
I appreciate if someone can help me how to start.
I dont know if I can do it just with [MATH]| x |[/MATH] properties or if I have to use the following: if [MATH]a \leq b+\epsilon[/MATH], [MATH]\epsilon \gt 0[/MATH] then [MATH]a \leq b[/MATH]
Thanks in advance
Knowing: [MATH]|a+b| \leq |a|+|b|[/MATH]I have to demonstrate that: [MATH]|a-b| \leq |a-c|+|c-b|[/MATH]
I appreciate if someone can help me how to start.
I dont know if I can do it just with [MATH]| x |[/MATH] properties or if I have to use the following: if [MATH]a \leq b+\epsilon[/MATH], [MATH]\epsilon \gt 0[/MATH] then [MATH]a \leq b[/MATH]
Thanks in advance