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

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

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

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Jun 26th, 2015
...
Jun 26th, 2015
Oct 17th, 2017
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