When solving an absolute value equation, |x + n| = c (where c> 0

Algebra
Tutor: None Selected Time limit: 1 Day

When solving an absolute value equation, |x + n| = c (where c> 0), either the expression inside the absolute value is equal to c or the opposite of the expression is equal to c. Is this true or false?

Jun 26th, 2015

Thank you for the opportunity to help you with your question!

-------------------------------------------------------------------------------------------

|x + n| = c   , c> 0

implies 

x + n =c or  -(x + n) = c


So, it is true that expression inside the absolute value is equal to c or the opposite of the expression is equal to c.

For example,

Let n= 2 and c = 5

So,

|x + 2| = 5  implies

x+ 2 = 5   or -(x + 2) = 5

x = 5 - 2   or  -x - 2 = 5

x = 3        or  -x = 5 + 2

x = 3        or  -x = 7

x = 3        or   x = -7


So, if x = 3 => |3 + 2| = |5| = 5

If x = -7 => |-7 + 2| = |-5| = 5


ANSWER:  TRUE

------------------------------------------------------------------------------------------- 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 26th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jun 26th, 2015
...
Jun 26th, 2015
Dec 7th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer