Algebra
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Unit 3: Solving Inequalities
Lesson 3.1: How Do We Create Graphs to represent Inequalities?
(example 1)
Consider the inequality
m < 4
What numbers are we talking about when we say, "m is less than four"?
Let's plot them all on a number line.
There's 3, of course.
(example 2)
When we use the symbols ≤ and ≥ ,
we include another answer in the solution set.
We signify this by plotting a solid point on the number line.
It is important to note that this point is the boundary
of all the numbers that are greater than seven
and the ones that are not.
This will help our understanding
as we include more variables down the line.