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Coolmath Algebra
Solving Inequalities Lesson 1 - What Your Answers Will Look Like (Intervals) (page 1 of 4)
---- This algebra lesson explains intervals - what your answers will look like when you solve inequalities

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For these problems, instead of just having one answer, like x = 3

number line showing x is equal to 3

We are going to get a range of answers, called an interval...  Like this:

number line showing x is greater than or equal to 1

This means that x can be 1 ... or x can be bigger than 1 ... x can be 2 or 4.671 or 1.00001 or 50,000,000.

One way to write this interval is

x is greater than or equal to 1

(read "x is greater than or equal to 1" )

So, what would this mean on a number line?

x < 3

Just read it!  "x is less than 3."

number line showing x is less than 3

We put an open dot at the 3, since x cannot be 3.

So, x < 3 means that x cannot be 3, but it can be a number less than 3... like 2.998 ... or 0 ... or -5931.

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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