Solve and graph the absolute value inequality: |2x + 4| 8.

Question

Solve and graph the absolute value inequality: |2x + 4| > 8.

zacharydoc · Answer

please help

coolcat123 · Answer

Absolute value is always a positive number.

coolcat123 · Answer

It would not be 2x2 because that would be 8 and the number has to be greater than 8

zacharydoc · Answer

okay

coolcat123 · Answer

it could be x =3 because that would be 10 which is greater than 8

coolcat123 · Answer

Do you understand

zacharydoc · Answer

what do I do with that + 4

zacharydoc · Answer

stil there

coolcat123 · Answer

one moment

coolcat123 · Answer

It is asking for a number greater than 8, so if x is 3 that would be 6 and 6 + 4 is 10. Therefore, 10 is of course greater than 8

coolcat123 · Answer

Is that helpful?

zacharydoc · Answer

yes and I'm supposed to put on a graph

coolcat123 · Answer

Remember, anything that is inside the absolute value is always positive, if it is -5, it would just be 5.

helpz-q · Answer

phi, can you anwser my question?

coolcat123 · Answer

So, where would you place a -7

phi · Answer

there are two cases

if the inside is positive in
|2x + 4| > 8
then you have  2x+4 > 8,  solve for x

if the inside is negative, the | | make it positive.  to get the equivalent effect, it's the same as
-1*(2x + 4) > 8

again we can solve for x

coolcat123 · Answer

I just taught Zacharydoc that

coolcat123 · Answer

The x would be a 3 because 2x3 =6 which would be added to 4 and that would be 10. That would make it greater than 8.

coolcat123 · Answer

Are you still there?

zacharydoc · Answer

yes

zacharydoc · Answer

why does it try to download some thing every time I answer something

coolcat123 · Answer

If every number is positive with absolute value than where would you place a -7 on a graph if it looks like this:
|dw:1476115040099:dw|