So, my teacher wants me to sketch the graph of a system of inequalities but I'm not sure how. Can someone help me? Thank you!
3x + 2y < 6
x > 0
y > 0
well, you can surely see that you want the part in the first quadrant.
Then you an consider the line 3x+2y=6
Obviously, any x or y less than what's on the line will satisfy the inequality. SO, you want the region below the line, in QI:
http://www.wolframalpha.com/input/?i=3x+%2B+2y+%3C+6%2C++x+%3E+0%2C++y+%3E+0