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October 19th, 2014, 09:43 AM  #1 
Newbie Joined: Oct 2014 From: London Posts: 27 Thanks: 0  Inequalities and graphs
I have the inequalities $\displaystyle 2<x<6,\quad 1<y<5,\quad y2\le2x, \quad2y\ge84x$ I have to solve these and plot it in a graph and show the region where they satisfy. I understand you have to find the common area and shade it. How do you find the points to plot for $\displaystyle 2<x<6\quad and\quad 1<y<5$ I think I have solved $\displaystyle y2\le2x\quad and 2y\ge84x$ to $\displaystyle y\le2x+2\quad and \quad y\le4+2x$ I am just unsure on the first two. Will making a X and Y table help to find the points? 
October 19th, 2014, 10:43 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 3,016 Thanks: 1600 
shown is a sketch of the region of all points 2 < x < 6 so, what would the region look like between 1 < y < 5 ? 

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