Remember in elementary school when the teacher was teaching less than, greater than; I do. I remember the teacher telling me that the Pac-man eats the bigger number; well today I found out that this is not the
case. For instance what if you have a -3 and a -6 which number is larger? You could also have a 4 and 8 which number is larger?
These are examples where students can become confused because you are working with negative numbers and numbers of different written sizes. One way to think about it is that the less than sign when opened up makes an “L” where the greater than sign doesn’t.
When working with inequalities you want to make it simple but not confusing. Confusing the students can only cause problems later in math when you the properties of inequalities. These properties include the Addition (or subtraction) Property of Inequality; which states that you can add or subtract a number, as long as you do it to both sides. The other property is Multiplication (or Division) Property of Inequality; which states you can multiply or divide but any positive number, as long as you do it to both sides. If multiplying or dividing by a negative number you have to flip the inequality sign.