SOLUTION: solve the equation and graph it on a number line:absolute value sign 2x+4 absolute value sign =8

Question 336367: solve the equation and graph it on a number line:absolute value sign 2x+4 absolute value sign =8
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 8 and it's opposite -8

Now lets focus on the first equation

Subtract 4 from both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

Now lets focus on the second equation

Subtract 4 from both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

So the solutions to are:

or

To graph these on the number line, just plot points at -6 and 2 on the number line.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
absolute value sign 2x+4 absolute value sign =8
--------------
|2x+4| = 8
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That thing inside the bars must be 8 or -8
----
Solve 2x+4=8 or 2x+4 = -8
---
2x = 4 or 2x = -12
x = 2 or x = -6
=====================
Cheers,
stan H.
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