SOLUTION: What is the answer to 7+2|y|=15

Algebra ->  Inequalities -> SOLUTION: What is the answer to 7+2|y|=15       Log On


   



Question 447685: What is the answer to 7+2|y|=15
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
7+2|y|=15
------------------
Subtract 7 from both sides:
2|y| = 8
Divide both sides by 2 to get:
|y| = 4
----
y = 4 or y = -4
========================
Cheers,
Stan H.
=============

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


Improperly worded question. Correctly stated but mathematically imprecise:

"What are the answers to ?"

Better:

"What are all of the elements of the solution set of ?"

Add -7 to both sides:



Multiply both sides by



Use the definition of absolute value:



Hence, or

and the solution set is

Also, note the use of a question mark when asking a question.

John

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