VIDEO1: y>_ -3 Greater than or Equal to

Hi class, this is miss champagne, and today we're going to look at graphing inequalities and two variables, less than a two C 8. The first example that we're going to look at is Y is greater than or equal to negative three. So the first thing to understand is the inequality symbols and what they mean. If you see an inequality symbol that is shaped like the letter L. Whether a slanted this way, it means less. So if a shape is like an L it means less, if it is shaped going the other direction, it means greater. If it has a little line underneath it, this line means equal two. So this means greater than or equal to. This means less than or equal to.

So we're going to grab this in four easy steps. Our first step is to rewrite. The inequality with. An equal sign. So we're going to rewrite this inequality instead of greater than or equal to, we're going to put an equal sign. Y equals negative three. Our second step. Is to graph Y equals negative three. In order to graph Y equals negative three, we have to understand that. When I turn this paper upside down, this little Y now looks like the letter H H stands for whole zonal. You can remember how a horizontal line looks because you can remember that the sun rises and sets on this line right here that we call the horizon. So in horizontal line goes in this direction, horizon, horizontal. Same thing. So with the horizontal line, it is the Y equals line. What we're going to do on this horizontal line is we're going to touch the number negative three on the Y line.

So let's find that on the graph first. So I'm going to go here. And notice that we have two lines. You have a Y line that goes up and down. You have an X line that goes right and left. You're going to find the negative three on this Y line. Negative three is located here. So I'm going to put a dot. On the negative three. Then I understand that a horizontal line goes in this direction. So I can click anywhere on any number to make it a horizontal line. I can click here. I can click here. I can click over here, I can click out here. It doesn't matter. Just click anywhere to make it a horizontal line. The third step. Is to determine, so third, we're going to determine. Here it's a solid line. Or dotted line. Is it a solid line or a dotted line? It is a solid line if the inequality has this little equal sign underneath. It's a dotted line if the inequality does not have an equal sign underneath it.

So let's go back here. We see that it does have an equal sign. So this is going to be yes. A solid line. So as you see on the computer screen, we already have it as a solid line. So our third step is done. Our last step. Step number four is going to be so our last step. Which side of the line do we color? In order to determine which side of the line we color in, we have to determine which numbers on either side of this line make this inequality true. So we're going to choose one number above this line and one number below this line. And you can choose any number that you want. So above this line, I see a negative two, I see a number two. So let's choose number two and negative four. So for the last step, you're going to rewrite your inequality.

So we have Y is greater than or equal to negative three. And you're going to draw two empty boxes. And we're going to see which one is true and which one is false. One of these numbers that I select is above the line and below the line. One is going to make this inequality true. The other is going to make this inequality fault. Remember, we said that we were going to choose the number two, since it's above the line, and we're going to choose the number negative four since it's below the line. So I put it in my empty box for my Y, I'm going to put a two here, and I chose a negative four here.

Now let's determine which one of these inequalities is true. The PacMan or the inequality always points to the number that's bigger. This means a positive two means that I have $2 in my pocket. Negative three means that I have to give you. $3. Would you rather have $2 in your pocket or would you rather have to give me $3? You'd rather have $2 in your pocket. So this inequality is true. This means I have to give you $4.

This means I have to give you. $3. Would you rather give me $4 or would you rather have to give me $3? You would rather have to give me $3 whether $4. This inequality is not true. Because I would not rather have to give somebody $4. So this one is false. Because this inequality containing the number two is true. I'm going to go back to my graph, and I'm going to color in the side, just click on it that has the number two. We're going to hit submit and our answer is correct.