SOLUTION: Find the natural domain of y=1/sqr(-(2-x)) Thanks!

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Question 1060100: Find the natural domain of y=1/sqr(-(2-x))
Thanks!

Answer by ikleyn(52824) About Me  (Show Source):
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Find the natural domain of y=1/sqr(-(2-x))
Thanks!
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The natural domain is the set of solutions of this inequality

-(2-x) >= 0,   (1)

making an expression under the square root positive (non-negative, to be precise).

The inequality (1) is equivalent to 

2-x <= 0     ( ! notice I changed signs in both sides, and changed the inequality sign to the opposite ! )

2 <= x,   or, which is the same, 

x > = 2.

Answer.  The natural domain is the set {x | x >= 2}.

For example, x= 3 is in the domain, while x = 1 is not.