Question

Graph the region that satisfies the following 3 inequalities: y < or equal to 2, y > -2/3x - 1, y > 1/2x - 1. Also, determine if the point (4,1) is a solution to these 3 inequalities.

Answer 1

something like this

Answer 2

http://www.wolframalpha.com/input/?i=y%3C-2x%2F3-1%2Cy%3C2%2C+y%3Ex%2F2-1

Answer 3

Or this

Answer 4

And (4, 1) would be a solution to the three inequalities as shown in my picture. :)

Answer 5

Thank you so much! Sometimes I just struggle with graphing the inequalities. I figured that 4, 1 would be the solution because that's what the graph I drew up indicated, but I thought I would double check with somebody else's solution.

Answer 6

No problem :) Also another way to check and make sure that the solution works is to just substitute it into the equation

Answer 7

Thanks for the tip. :)

Answer 8

Your welcome :)