SOLUTION: I am not even sure where to start. My problem is 2<=x<10 I am told to create two statements from this,then to solve the two equations to learn the intersection of the two stateme

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Question 1064552: I am not even sure where to start. My problem is 2<=x<10 I am told to create two statements from this,then to solve the two equations to learn the intersection of the two statements. I need to be able to express the answer as an intersection of two statements as well as interval notation.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
2 <= x <= 10

break that up into 2 statements and you get:

2 <= x and x <= 10

2 <= x can also be written as x >= 2

the two statements can now be written as:

x >= 2 and x <= 10

in interval notation, this wouldbe written as [2,10]

here's a lesson on interval notation:

http://www.coolmath.com/algebra/07-solving-inequalities/03-interval-notation-01