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# Help. ​

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Help.

Sep 28, 2017

#1
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3x  + 2y  >  - 5

Let's first graph  3x +  2y    = -5

To do this   let    x  be any value ......  I 'll let it   = 1   .......  then  to find y

3(1)  + 2y  = -5

3  +  2y   = -5     subtract  3 from both sides

2y  = -8     divide both sides by 2

y = -4       so     ...     (1,-4)  is on the graph

Now   let x  be any other value.......I'll choose 0  ....find y again

3(0)  + 2y  = -5

0  +  2y  = -5

2y  = -5     divide both sides by  2

y  = -5/2     so.......  (0, -5/2)   is on the graph

Plot these two points and draw a line through them

Here's what the graph should look like :       https://www.desmos.com/calculator/dx8dnbgefp

Now......pick  a point on either side of this line  - I'll choose (0,0)   -       and  put it into the original function

So we have

3(0)  + 2(0)  >  -5

0  >  - 5

Since this is true.....we shade the side of the line which  contains (0,0)...also....since we have a ">"  symbol......the line should be a dashed one......

Putting ths all together , here's the final  graph   :  https://www.desmos.com/calculator/dx8dnbgefp

Sep 28, 2017
edited by CPhill  Sep 28, 2017