Which correctly describes how the graph of the inequality 4x - 2y > 20 is shaded?
Above the solid line
Below the solid line
Above the dashed line
Below the dashed line
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OpenStudy (turingtest):
first, solve the inequality for y
OpenStudy (anonymous):
I'm not to sure on how to exactly do that. @TuringTest
OpenStudy (turingtest):
I would start by adding 2y to each side
OpenStudy (anonymous):
Okay so I add the 2y to what side exactly
OpenStudy (turingtest):
to both sides\[\begin{array}4x& - 2y& >& 20\\&+2y&&&+2y\\\hline\end{array}\]
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OpenStudy (anonymous):
How would I solve this ?
OpenStudy (turingtest):
well on the left you are adding 2y to -2y
what is 2y-2y ?
OpenStudy (anonymous):
2y-2y =y
OpenStudy (turingtest):
no\[2y-y=y\]
OpenStudy (anonymous):
4y
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OpenStudy (turingtest):
\[2y+2y=4y\]
OpenStudy (turingtest):
you just add or subtract the coefficients\[\color{red}2y+\color{red}2y=\color{red}4y\]
OpenStudy (turingtest):
for example\[\color{red}2y+\color{red}3y=\color{red}5y\\\color{red}5y-\color{red}2y=\color{red}3y\\\color{red}2y-\color{red}1y=\color{red}1y\]so what is \[\color{red}2y-\color{red}2y\]
OpenStudy (anonymous):
-4y
OpenStudy (anonymous):
you there?
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OpenStudy (turingtest):
no, that would be\[-\color{red}2y-\color{red}2y=-\color{red}4y\]
OpenStudy (turingtest):
just look at the coefficients (the red numbers)\[\color{red}2y-\color{red}2y\\\color{red}2~~-\color{red}2\]
OpenStudy (anonymous):
0
OpenStudy (anonymous):
So, would it be, Below the Dashed Line ?
OpenStudy (anonymous):
Someone please Help!
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Mehek (mehek14):
shade below the line if y is less than the other side
OpenStudy (anonymous):
Okay, so I already know that it is below the line,m but is it a dashed line?
Mehek (mehek14):
is it just < or >
OpenStudy (anonymous):
>
Mehek (mehek14):
so dashed line
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Mehek (mehek14):
if it was ≥ then a solid line
OpenStudy (anonymous):
oh okay, well thanks! Can you help me with some more please?