Mathematics
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OpenStudy (anonymous):
-7y - 17 > 11
Part 1: Solve the inequality above.
Part 2: Describe the graph of the solution.
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OpenStudy (lgbasallote):
solve for y in
-7y - 17 > 11
AND
-7y - 17 < -11
does that help?
OpenStudy (anonymous):
@lgbasallote there isn't an absolute value in this problem
OpenStudy (lgbasallote):
sorry..i have been solving far too many absolute values
OpenStudy (anonymous):
:)
OpenStudy (lgbasallote):
-7y - 17 > 11
first add 7y to both sides. what do you get?
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OpenStudy (anonymous):
I got -17 >18.
is that right?
OpenStudy (lgbasallote):
-17 is greater than 18? does that sound right?
OpenStudy (lgbasallote):
rememebr... you CANT combine 11 and 7y
OpenStudy (anonymous):
so i would add 7y to -17?
OpenStudy (lgbasallote):
no...
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OpenStudy (lgbasallote):
you can't combine constants with variables
OpenStudy (lgbasallote):
7y has a letter...neither 11 nor -17 have letters
OpenStudy (lgbasallote):
so it will just look like
-17 > 11 + 7y
got it?
OpenStudy (anonymous):
oh yeah now i get it! Sorry, I just started learning all this and it's just so confusing haha
OpenStudy (lgbasallote):
it's okay. it's a common tale
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OpenStudy (lgbasallote):
now subtract 11 from both sides
OpenStudy (anonymous):
I subtract it from 7y? ....
OpenStudy (lgbasallote):
no
OpenStudy (lgbasallote):
again...you CAN'T combine 11 and 7y
OpenStudy (lgbasallote):
you can only subtract 11 from 11 so what's 11 - 11?
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OpenStudy (anonymous):
0
OpenStudy (lgbasallote):
and -17 - 11?
OpenStudy (anonymous):
-28
OpenStudy (lgbasallote):
so what would the inequality look like?
OpenStudy (anonymous):
-28>7y ?
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OpenStudy (lgbasallote):
yes
OpenStudy (lgbasallote):
now divide both sides by 7
OpenStudy (anonymous):
-4>y
OpenStudy (lgbasallote):
right. so there's your answer
OpenStudy (anonymous):
And when they say describe the graph, they just mean tell them where it would be on the number line right?
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OpenStudy (lgbasallote):
right
OpenStudy (anonymous):
Okay, thank you very much :)
OpenStudy (lgbasallote):
welcome