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Mathematics 14 Online
OpenStudy (anonymous):

What is the graph of the absolute value inequality?

geerky42 (geerky42):

Do you know the graph of absolute value?

OpenStudy (anonymous):

\[\left| x+5 \right|\ge y-2\]

OpenStudy (kkutie7):

you nee to split it into two. x>0 x+5 x<0 5-x

OpenStudy (anonymous):

OpenStudy (anonymous):

Thanks :)

OpenStudy (kkutie7):

https://www.wolframalpha.com/input/?i= |x%2B5|%3Ey-2

OpenStudy (ranga):

\[ |x + 5| \ge y - 2 \\ y - 2 \le |x+5| \\ y \le |x+5| + 2 \]First draw \(y = |x+5| + 2\) and then shade the appropriate region. Start with the graph y = |x|, shift it to the LEFT by 5 units, shift it UP by 2 units.

OpenStudy (anonymous):

So would it be C or A ?

OpenStudy (ranga):

Since y <= the bottom region should be shaded.

OpenStudy (anonymous):

Lol okay with that being said he answer is A

OpenStudy (ranga):

yes.

OpenStudy (anonymous):

Thank you so much !!

OpenStudy (ranga):

You are welcome.

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