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Write in set notation the solution of x^2 - 4 >= 8  

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beatrice0866 | Student, College Freshman | (Level 1) Honors

Posted June 3, 2012 at 3:31 PM via web

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Write in set notation the solution of x^2 - 4 >= 8

 

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 3, 2012 at 3:35 PM (Answer #1)

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The solution of the inequality `x^2 - 4 >= 8` has to be determined.

`x^2 - 4 >= 8`

=> `x^2 >= 12`

=> `x >= 2*sqrt 3` and `x<= -2*sqrt 3`

The solution of the inequlity `x^2 - 4 >= 8` is `{-oo., -2]U[2, oo}`

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