SOLUTION: |8b+9|<63 Can you pls show the steps to the anwser. My teacher gave me an answer of -7<x<1 and some how this is the only problem im having problems with. Just want to make sure.

Algebra ->  Absolute-value -> SOLUTION: |8b+9|<63 Can you pls show the steps to the anwser. My teacher gave me an answer of -7<x<1 and some how this is the only problem im having problems with. Just want to make sure.      Log On


   

Question 497016: |8b+9|<63
Can you pls show the steps to the anwser. My teacher gave me an answer of -7
Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if
|8b+9|<63
means
8b%2B9%3C63+ or -%288b%2B9%29%3C63+
if 8b%2B9%3C63+...->8b%3C63-9+...->8b%3C54+..->b%3C54%2F8+.->b%3C6.75+...round it...b%3C7+
if -%288b%2B9%29%3C63+...->-8b-9%3C63+...->-8b%3C63%2B9+..->-8b%3C72%2F8+...->b%3E72%2F-8+...->b%3E-9+

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You can tell your teacher thank you very much for the answer -7, but that is only one element of the solution set of your inequality that has infinite elements.

If then , hence:







On the other hand, if then , hence:







Hence the solution set is



-7 is an element of this set, but hardly descriptive of the solution.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism