y>2x {(2,6),(0,-1),(3,5)

fill them all in and find out which ordered pairs make the inequality true!

6>2(2)

6>4 True! So this ordered pair works.

-1>2(0)

-1>0 False... So this ordered pair doesn't work.

5>2(3)

5>6 False... So this ordered pair doesn't work.

(2,6) Is your answer 

 Lets try another...

y+1<x {(2,1),(8,6),(2,3)

1+1<1

2<1 False... This ordered pair doesn't work

6+1<8

7<8 True! This ordered pair works 

3+1< 2

4<2 False... This ordered pair doesn't work.

Your answer:  (8,6)

 

Try Another:

y<3x {(-3, 1), (-3, 2), (1, 1), (1, 2)

Fill in these ordered pairs and see which ones work.

 

(-3, 1)

1<3(-3)

1<-9

False. This ordered pair does not work.

 

(-3, 2)

2<3(-3)

2<-9

False. This ordered pair does not work.

 

(1, 1)

1<3(1)

1<3

True! This ordered pair works.

 

(1, 2)

2<3(1)

2<3

True! This ordered pair works.

 

The ordered pairs (1, 1) and (1, 2) work in this equation.

 

How would you graph this? y>2x+2

You would start at 2 on the Y Axis.

You would go up 2 and to the right 1 until you get a desired amount of points on your graph.

Because the symbol is > you would have a dotted/dashed line connecting the points.

To figure out which side you shade in you can substitute an ordered pair (0,0) that doesn't land on your line.

so: 0>2(0)+2

0>2 is not true

Shade on the side of the line that DOESN'T contain (0,0) 

Additional Information: any line in the plane divides the plane into two regions called half-planes. The line is called the boundary of each of the two half-planes.

When you are shading in the side that works use the point (0,0) unless the line goes through it.

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