Solve and graph the absolute value inequality: |2x + 4| 14

Question

Solve and graph the absolute value inequality: |2x + 4| > 14

solomonzelman · Answer

this would either be    2x + 4 > 14  or  2x + 4 < -14

solomonzelman · Answer

Solve for x in 2x + 4 > 14 and  2x + 4 < -14

anonymous · Answer

Alright but I have a problem, the answer is in a line graph

solomonzelman · Answer

Ok, so first solve for x, I'll help you graph it, and then you will graph a different example, to make it clear, OK?
@0037109

anonymous · Answer

Got it

solomonzelman · Answer

Solve for x, carefully, take your time.

solomonzelman · Answer

Tell me what you get when yo are done.

anonymous · Answer

Would it be x > 5 and x < -9 ?

anonymous · Answer

@SolomonZelman  Done

solomonzelman · Answer

Yup. So now we are going to graph it.

solomonzelman · Answer

|dw:1384352688689:dw|
see why is it open dot and not closed?

anonymous · Answer

I have a couple more questions :\ but thanks for the help man :)

anonymous · Answer

Is it open dot @SolomonZelman

solomonzelman · Answer

Yes, see why?

anonymous · Answer

Not really

anonymous · Answer

Is it because it's separated?

solomonzelman · Answer

Open dot means that the value is not included, like -9 and 5 are not one of the solutions for x.
closed dot means that the point on which the dot is, is included as a solution, like if on point 5 on a number line, there would have been a closed dot,, 5 would be aslo a solution for x.

anonymous · Answer

Got it, I have a couple more questions can you help me?

solomonzelman · Answer

Sure!

anonymous · Answer

Do I put it here?

solomonzelman · Answer

If you want to, but to maintain order,  it would be better to open a new one.

anonymous · Answer

OK!

aggie12341 · Answer

x>12