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October 19th, 2014, 09:43 AM   #1
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Inequalities and graphs

I have the inequalities $\displaystyle 2<x<6,\quad 1<y<5,\quad y-2\le2x, \quad-2y\ge8-4x$ 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 $\displaystyle y-2\le2x\quad and -2y\ge8-4x$ to $\displaystyle y\le2x+2\quad and \quad y\le-4+2x$ I am just unsure on the first two. Will making a X and Y table help to find the points?
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October 19th, 2014, 10:43 AM   #2
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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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File Type: jpg xbetween2&6.jpg (15.7 KB, 1 views)
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