Question

Graph the following inequality.
4x-y > 8
-

Answer 1

Easiest way to graph inequalities is by getting the x and y intercept. So if y = 0 then

4x-0 > 8
4x>8
x>2

(2,0)

If x = 0 then

-y > 8
y < -8

(0,-8)

Now, Graph both points and draw the line.

Since it is only less than and not equal to, it is a dotted line and you shade downwards since when the y is positive, the sign switches.

Answer 2

I get the ordered pairs easy enough but the shading part I am lost as how to graph and shade correctly, could you help me see h ow it is done?

Answer 3

Sort of like this except the line is dotted.

if the sign is \[\le\] or \[\ge\], then it is a solid line.

if the sign is < or > then it is a dotted line.

If y is less than or less than or equal to, you shade downwards.

if y is greater than or greater than or equal to, you shade upwards.

Answer 4

ah, ok. Thank you for the demonstration. I understand better now. :)

Answer 5

No problem ;)

Answer 6

@teenandtoddlermom
In this problem, the graph should show the line to be dashed because the inequality 4x-y > 8 does not include the points on the line.
As stated by @jiji501 --> if the sign is < or > then it is a dotted line.

Answer 7

Yeah dotted except I was too lazy ;)