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I've been stuck on these for a while and I'm confused. Also, forgot if I am supposed to shade part of the graph or if it is just a line. Please help! Thanks.

 Jan 29, 2019
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I'll do the first one.....If you have trouble with the rest...let me know

 

First  a    " ≥ "  or a " ≤ "     means a solid line

 

While a  " >"  or a "< "   means a dashed line

 

The easiest way to do this is to graph these lines

 

y = 2x - 1      and y = -3

 

So....look at the graph here  :   https://www.desmos.com/calculator/hk7nfsdyrr

 

The two lines split the grah into 4 quadrants

 

Picking a point in each quadrant I've selected  (0, 0)  (-2, - 4)   (0, - 4)   (2, 0)

 

Put each set of coordinates into the original inequalities

 

If you do this....you will note that the point  (2,0)  is the only point that makes both inequalities true....

 

So.....we shade like this : https://www.desmos.com/calculator/6fzq3zdgcz

 

 

 

cool  cool cool

 Jan 29, 2019
edited by CPhill  Jan 29, 2019

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