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Solve the nonlinear inequality.

x^2<4

 Jun 26, 2014

Best Answer 

 #4
avatar+118703 
+5

Ninja's number line is great BUT you need to put an OPEN CIRCLE around -2 and +2.

This shows that the end points are NOT included.  

 Jun 27, 2014
 #1
avatar+118703 
+5

x^2<4

-2<x<2

 Jun 27, 2014
 #2
avatar+3454 
+5

Melody hit it right on the dot.

I just thought I could give you a visual of what this is saying, because I personally know that I like learning by visuals.

Melody's answer ( -2 < x < 2 ) is saying that x is bigger than -2, but smaller than 2.

This number line gives you a visual of this nonlinear inequality:

It is important to note that x does not equal 2 or -2, but it does equal anything inbetween them. 

 Jun 27, 2014
 #3
avatar+130466 
+5

Here's the graph that confirms the answer....the "red" is y= x^2 and the "blue" is y =4. Note that x^2 is less than 4 on the interval from -2 to 2 (not including the endpoints!!)

 

 Jun 27, 2014
 #4
avatar+118703 
+5
Best Answer

Ninja's number line is great BUT you need to put an OPEN CIRCLE around -2 and +2.

This shows that the end points are NOT included.  

Melody Jun 27, 2014

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