SOLUTION: the solution set of the inequality 1/x<=x is ?

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Question 1044462: the solution set of the inequality 1/x<=x is ?
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
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the solution set of the inequality 1/x<=x is ?
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1.  If x > 0, then the inequality  <= x is equivalent to  >= 1 and has the solutions x >= 1.

    Thus, if x > 0 then the solutions are x>= 1.


2.  If x < 0, then the inequality  <= x is equivalent to  <= 1 and has the solutions -1 <= x < 0.

    Thus, if x < 0 then the solutions are -1 <= x < 0.

Answer.   The solution set is   [-1,0)  U  [1,).




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