SOLUTION: |a+b|=|a|+|b| Are always true? |a*b|=|a|*|b| Are always true? |a+b|greater or equal than|a|+|b| Are always true?

Algebra ->  Absolute-value -> SOLUTION: |a+b|=|a|+|b| Are always true? |a*b|=|a|*|b| Are always true? |a+b|greater or equal than|a|+|b| Are always true?      Log On


   

Question 35773This question is from textbook Algebra for Berkeley college student
: |a+b|=|a|+|b| Are always true?
|a*b|=|a|*|b| Are always true?
|a+b|greater or equal than|a|+|b| Are always true? This question is from textbook Algebra for Berkeley college student

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
|a+b|=|a|+|b| Are always true?...NO FOR EX.IF A=5 AND B=-3,LHS =2 AND RHS=7
|a*b|=|a|*|b| Are always true?...YES
|a+b|greater or equal than|a|+|b| Are always true?...NO...FROM SAME EX.AS ABOVE,WE GET 2>7 WHICH IS NOT TRUE