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Throughout our course, you've been able to enter numbers in the boxes. We're going to step that up using Math Quill. Math Quill is an amazing tool that allows us to write math expressions with our keyboard. For this unit, we need to be able to write inequality signs and infinity symbols to solve our problems. Let's see how Math Quill can help us out.

If I wanted to type x is less than or equal to 3, I would type in on my keyboard x, a backslash symbol, the letters l, e, and then a space. Right after you hit the space, the backslash and the le will transform into a less than or equal to sign and that's also what this letter stand for, less than or equal to. If you don't type in a space after these characters, then nothing will happen. Once you have entered a space you can continue typing. I would just set 3 to get x is less than or equal to 3. I have greater than or equal to symbol works in a similar way. You would type backslash then ge, and the space. You're going to have a chance to practice that here and here, just by typing in what I have written here. And then as a challenge to you, you'll be able to try these 2 inequalities. Notice that they contain an infinity symbol. For the infinity symbol, you simply need to type in a backslash and then the letters inf and a space. The space again will transofrm these characters into your infinity symbol. For this infinity, it's negative. So, I put a negative sign in front first. This is just the minus sign or the dash on your keyboard. Try playing around with your keyboard and see if you can get these same math expressions using MathQuill. It's pretty cool.

To finish typing the rest of this inequality, you should have entered a backslash, the letters le, a space, the letter b, another backslash, and an le, and another space, and then the number 2. This last one is really complicated. But hopefully, you stayed with it and figured it out. First, we type a backslash, the letters inf, and a space for this infinity symbol. Then, we use a backslash and the letters ge and a space for the greater than or equal to sign. We have the letter x next, and then another backslash ge space for the greater than or equal to sign. And finally, we finish out with a negative sign or negative infinity, and a backslash letters, inf, and a space. This will give us our last negative infinity. Feel free to play around with MathQuill and see if you can type in some other things. We'll definitely be learning more about MathQuill as we go.