SOLUTION: I need the graph 2y<8

Algebra ->  Linear-equations -> SOLUTION: I need the graph 2y<8      Log On


   



Question 826589: I need the graph 2y<8
Found 3 solutions by stanbon, Edwin McCravy, AnlytcPhil:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I need the graph 2y<8
------
Note: y is less than 4.
Shade all points where y is < 4
=======
Draw a dashed line at y = 4.
Shade the half-plane below the dashed line.
----------------
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy+%3C+4%29
=======================
Cheers,
Stan H.
=======================

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
The other tutor doesn't know how to use the software efficiently.

First draw the graph of 

2y = 8

Divide both sides by 2

 y = 4

This is equivalent to

 y = 0x + 4  which is a line with 0 slope and y-intercept (0,4).
A line with slope = o is a horizontal line.  We draw it dotted 
because  the inequality is < not <.



Now we decide if we should shade above or below the line.  We 
shade below the line either because of what the other tutor said
or because we substitute the test point (0,0) in the original
inequality

  2y < 8
2(0) < 8
   0 < 8

That is true so we shade the side of the line that the origin is
on:  




Edwin

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe you meant to graph 2y<8 on a number line.  If so:

2y < 8

Divide both sides by 2

 y < 4

<=====================o---------
-3 -2 -1  0  1  2  3  4  5  6  7

or

<=====================)---------
-3 -2 -1  0  1  2  3  4  5  6  7

Edwin