• Feb 14th 2011, 06:55 AM
andyboy179
hi,
i need to shade inequalities for these:

Attachment 20804

i know how to do the first and last ones but not the second one. i can plot it on the graph but iam unsure which side to shade! can someone help me and show me where to shade? thanks!!

p.s. i have this so far for the first and last ones with shading, plus the middle one with out shading.

Attachment 20805
• Feb 14th 2011, 07:18 AM
Soroban
Hello, andyboy179!

Quote:

i need to shade inequalities for these: .$\displaystyle \begin{Bmatrix}(1) & y \:>\:2x+1 \\ (2) & y \:<\:x \\ (3) & y \:>\:2 \end{Bmatrix}$

i know how to do the first and last ones but not the second one.
i can plot it on the graph but iam unsure which side to shade!
Can someone help me and show me where to shade? thanks!

On (1) and (3), how did you decide which side to shade?
What method did you use?

Apply the same method to (2) . . .

• Feb 14th 2011, 07:22 AM
andyboy179
on 1 y is more than 2x+1 so i want that so i shade where less is. same for number 3. would i shade to the right hand side of the line?
• Feb 14th 2011, 07:34 AM
andyboy179
would it look like this??

Attachment 20808

???
• Feb 14th 2011, 09:52 AM
Soroban
Hello, andyboy179!

Quote:

on 1, y is more than 2x+1 so i want that so i shade where less is.

. . I don't understand this.

#1 has: .$\displaystyle y \:>\:2x+1$

First, graph the line: .$\displaystyle y \:=\:2x+1$

Since the inequality has "$\displaystyle \,y$ is greater than",
. . shade the region above the line.

#2 has: .$\displaystyle y \:<\:x$

Graph the line: .$\displaystyle y \:=\:x$

Since the inequality has "$\displaystyle \,y$ is less than",
. . shade the region below the line.

• Feb 14th 2011, 09:58 AM
andyboy179
so it would look like this???
Attachment 20810