Posted by Momo on Saturday, February 6, 2010 at 6:46pm.
Graph the solution:
3xy7<0
x+5y+3>=0
This is my thought process in this:
The first equation I can solve for y since we don't have to worry what x is. And I get y>3x7.
The second one, however, y is being multiplied by 5, so I can't just divide by 5 on both sides because I don't know if the value of y will be positive or negative (and then I'll have to switch the sign).
...So I don't know about the second equation. Help please?
Thank you!

Math  Damon, Saturday, February 6, 2010 at 6:52pm
x+5y+3>=0
5 y > x 3
y > x/5 3/5
You divided by a positive number, so there is no reason to reverse the direction of the arrow. Now graph that line and shade above it.

Math  Reiny, Saturday, February 6, 2010 at 6:55pm
5y ≥ x  3
but you are dividing by 5, so you don't have to worry about the inequality sign.
so
y ≥ x/5  3/5
Now in each case, the equation becomes the boundary.
So for the first one, draw a dotted line, and shade in everything above that line.
For the second, draw a dotted line and shade in everything above that line.
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