+130081 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
