Posted by **Emma** on Wednesday, December 12, 2012 at 6:18pm.

I don't get how you would know which way to shade the inequality when it's true or false.

For example the inequality 2x+3y> 12

When I solve it it's y>-2/3x+4

But when I graph the line how would I know which side to shade?

- Algebra -
**Henry**, Friday, December 14, 2012 at 10:46pm
2x + 3y > 12.

Graph 2x + 3y = 12.

Use the following points:

(0,4), (6,0).

The graph should be a dotted line,

because the boundary line(graph) is not

a part of the solution. Therefore, the

points on the graph should not satisfy

the inequality. Let's test the 1st point:

2*0 + 3*4 > 12

12 > 12. Not true.

Imagine that the graph is a ramp and you are walking UP the ramp. The solution is to your right because the

arrow(>) points to the right. This is true only when the inequality is in the

standard form as given. Also, you must be walking UP the ramp.

The following points are to the rt. as

you walk UP the ramp and should,therefore,satisfy the inequality:

(0,5), (7,0).

2*0 + 3*5 > 12

15 > 12. True.

Test the 2nd point.

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