unit+3


 * __3.1:__[|Graphing Simple Inequalities] **
 * After watching the video above on graphing, you need to match the inequality statements below in the document below with their corresponding graphs. **
 * [[image:http://www.wikispaces.com/i/mime/32/application/msword.png width="32" height="32" link="http://mhsalgebra2cp.wikispaces.com/file/view/3.1+wikispace+journal.doc"]] [|3.1 wikispace journal.doc] **
 * In your wikispace journal, explain your entire thought process (from your first match to your last) and how you narrowed down the choices and knew which graph matched which inequality statement. **

For the sixth one I looked for an arrow pointing to the left with a closed circle on the -2 and an arrow pointing to the right with an open circle.
I narrowed my choices by considering which ones were compound or And inequalities and which ones were single inequalities.

__**Summarize what we did in class today.**__ Explain what similar features are shown in the graph x>5 as you would graph it on a number line and x>5 as you would graph it on a coordinate plane. Also explain the similarities of x<=3 as graphed on a number line and x<=3 on a coordinate plane. Explain how this same thinking applies to y<2x+1 ?? How do you know which side of the line should be shaded since the line is slanted? Be sure to explain the short-cut method as well as the algebraic method you could use to prove that the correct side of the line has been shaded.

Either if you graph on a coordinate plane or a number line you still get solutions to the equation. On the coordinate plane when x is by its self its a vertical line and you have to shade to the right. On a number line you have to decide if its a open circle or a close close then draw the arrow the direction of the sign of the inequality. The similarities of x<=3 as graph on a number line and x<=3 on a coordinate plane is one number line the arrow direction is going to the left, for the coordinate plane you shade to the left.You have to find y-int and slope then graph and look for direction of shading which is shade below because of < which means shade below.

__ 3.3: __
__**(Looking at graph on page 113)**__ Write the inequality whose graph is shown. Explain every step of your thinking and how you came up with the inequality.

__ **3.4:** __
Looking at the shaded graph in the document below, you need to identify a point that is a solution to the system and explain how you know it is a solution by looking at the graph. Also, identify a point that is a solution to only one of the inequalities, but NOT a solution to the system. Explain how you might test a point to determine whether it is a solution to the system or not?

[|3.4.doc]

= (-5,6) is a solution because its in the shaded region. =

(7,9) is a solution to the first inequality.Its not in the second one because its not in the shades area. You have to plug it into both inequalities to test a point to determine whether its a solution or not.