# Math Help - Linear Inequality

1. ## Linear Inequality

Trying to remember how to do this.

2x+5y _>-10

Can I put whatever numbers I want in there? Like 0,1,2 to come up the line?

2. Originally Posted by Rheanna
Trying to remember how to do this.

2x+5y _>-10

Can I put whatever numbers I want in there? Like 0,1,2 to come up the line?
Not exactly sure what you mean, but yes, you can basically put any number you want for one of x and y and solve for the other to plot the points on the line. You can simply draw the line though

3. Originally Posted by Rheanna
Trying to remember how to do this.

2x+5y _>-10

Can I put whatever numbers I want in there? Like 0,1,2 to come up the line?
Hi Rheanna,

You can set up a table of values for x, and solve for y. Noticing that your inequality is greater than or equal to, the line will be graphed as a solid line as opposed to a dashed or broken line.

The easiest way to graph this is to first translate the inequality in the form of y = mx + b, using the appropriate inequality symbol.

$2x+5y \ge -10$

$5y \ge -2x-10$

$y \ge -\frac{2}{5}x-2$

You can now plot the y-intercept at (0, -2). Use the slope to find a second point (travel down 2 and right 5 or up 2 and left 5).

The solution is a region either above or below the line. If you are not sure which side to shade, pick a test point and insert it into the original inequality and test for validity. If it works, shade that side. If it doesn't, shade the other side.

4. Originally Posted by Rheanna
Trying to remember how to do this.

2x+5y _>-10
Solve for y. Graph the line for the related equation. Then, since this is a "greater than" inequality, shade above the line.

5. Ok than, find the slope first, than do it, I see what you did. I did that for one of the questions but guess i looked too much into this one. Thanks