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

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

abs%282x%2B4%29=8 Start with the given equation


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

2x%2B4=-8 or 2x%2B4=8 Set the expression 2x%2B4 equal to the original value 8 and it's opposite -8




Now lets focus on the first equation 2x%2B4=-8


2x=-8-4Subtract 4 from both sides


2x=-12 Combine like terms on the right side


x=%28-12%29%2F%282%29 Divide both sides by 2 to isolate x



x=-6 Divide






Now lets focus on the second equation 2x%2B4=8



2x=8-4Subtract 4 from both sides


2x=4 Combine like terms on the right side


x=%284%29%2F%282%29 Divide both sides by 2 to isolate x



x=2 Divide





So the solutions to abs%282x%2B4%29=8 are:

x=-6 or x=2


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