VIDEO2: x<_ 1 LESS than or Equal to
Algebra 1
Math Graphing Tutorial
Our next example. This says that X is less than or equal to one. So the first thing that I do is write that on my piece of paper. So here I have X is less than or equal to one. X is sorry. X is less than or equal to one. So remember our first step is to rewrite with N equal sign. So I'm going to rewrite X and I'll put an equal sign equals one. Our second step is to graph. X equals one. In order to grab X equals one, you have to understand that you have the letter V if I put another upside down V here, it forms an X so V stands for vertical. We know that an X graph is going to be a vertical line. A vertical line goes up and down. So I am going to find the number one that's touching on the X axis. So I'm going to go to my graph. I'm going to locate the X axis. This is your Y axis. This is your X axis. I need to find the number one. And I'm going to put a dot. So I'm going to put a dot on the number one on the X axis. The next thing I'm going to do is create a vertical line going up and down. So that means I can click here to make it a vertical line.
I can click over here to make it a vertical line. I can click down here. It does not matter. So now I have my vertical line. The third step is to determine. Whether it's going to be a solid line or dotted line. Solid, or dotted. It's going to be solid. If my inequality has an equal sign underneath it, it's going to be dotted if my equal if my inequality does not have that little line underneath it. I see that my inequality does have a line underneath it. So my line is already solid. So I am good to go. The last step is to determine which side. Which side. Of the line. Do I color. So we're going to rewrite the inequality, and we're going to rewrite it with empty boxes. So I'm going to write it with two empty boxes, because I have to choose two numbers on either side of the inequality and see which one makes it true. One of the numbers is definitely going to make it true. The other one is going to make it false. Let's look at our line. I have to choose any number to the right and any number to the left. I don't know. I see it too. So I'm going to put a two in the empty box, and I'm going to put a negative two in the empty box. You can choose any number you want. It doesn't matter.
So we're going to choose two and negative two. So I'm going to put a two here, and I'm going to put a negative two here. This inequality always points to the number that's bigger. This is one and this is a two. Is this inequality pointing to the number that's bigger? No. So this is false. This means that I have $1 in my pocket because it's positive. This means I have to give you $2. Would you rather have a dollar in your pocket or would you rather have to give me $2? You'd rather have a dollar in your pocket. So this inequality is quoting to the right number, which is true. So I'm going to shade in the side that has the negative two. So I'm going to go back here to my graph. I'm going to shade in the side that has a negative two, just click on it. And I'm going to press submit. And it is correct.