anonymous
  • anonymous
Graph the inequalities 4x – 5y –10 x + 3y –12
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
do you have a greater than sign or a less than sign?
anonymous
  • anonymous
4x – 5y <_ –10 x + 3y _> –12
Mertsj
  • Mertsj
Can you solve them for y?

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anonymous
  • anonymous
Thats what I need help with
Mertsj
  • Mertsj
\[4x-5y \le-10\]
Mertsj
  • Mertsj
Subtract 4x from both sides
Mertsj
  • Mertsj
\[-5y \le-4x-10\]
anonymous
  • anonymous
Yea I did that
Mertsj
  • Mertsj
Now divide both sides by -5 and don't forget to reverse the inequality symbol.
anonymous
  • anonymous
Then divide -5 does the sign flip?
Mertsj
  • Mertsj
\[y \ge\frac{4}{5}x+2\]
Mertsj
  • Mertsj
Now graph it. Mark 2 on the y axis. From that point, go up 4 and right 5
Mertsj
  • Mertsj
|dw:1328398506990:dw|
Mertsj
  • Mertsj
Ok. Are you ready for the second one?
Mertsj
  • Mertsj
\[x+3y \ge-12\]
anonymous
  • anonymous
yes
Mertsj
  • Mertsj
Subtract x from both sides.
Mertsj
  • Mertsj
\[3y \ge-x-12\]
Mertsj
  • Mertsj
Now divide both sides by 3
Mertsj
  • Mertsj
\[y \ge-\frac{1}{3}x-4\]
Mertsj
  • Mertsj
Now mark -4 on the y axis and then go down 1 and right 3.
Mertsj
  • Mertsj
|dw:1328398842010:dw|
Mertsj
  • Mertsj
Checkerboard area is solution set.

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