How can you describe the relationship between two numbers? There are only three ways to describe this relationship, which is why it’s called the law of trichotomy (“tri” means three). The law of trichotomy says that two numbers can have exactly one of three possible relationships: 1) a<b, 2) a>b, or 3) a=b.
Read MoreIn this lesson we’ll look at how to graph linear inequalities on a coordinate plane. To graph a linear inequality, first graph the boundary line. The boundary line will be dashed if the symbol is < or >. The boundary line will be solid if the symbol is ≤ or ≥.
Read MoreBefore we can graph an inequality, we have to solve it. To help us in doing the graphing, we want to write the solution in a form of an inequality where only the variable is on the left side, and only a number is on the right side.
Read MoreWe solve inequalities the same way we solve equations, except that when we multiply or divide both sides of the inequality by a negative number, we have to do something special to it. Anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign.
Read MoreConjunctions are “and” statements. And you might be thinking, “What does that have to do with a number line?” Well, there are times when we have two inequalities and we want to graph the points that satisfy both of them. That’s where the “and” comes in: We want to graph the points that simultaneously satisfy both the first inequality and the second inequality.
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