document.write( "Question 607126: The question is how do I find (in interval notation) the values of x for which this expressio is real.\r
\n" ); document.write( "\n" ); document.write( "Squareroote of (15-5x).\r
\n" ); document.write( "\n" ); document.write( "The anwswer seems to be any number beyond 3 will produce a real number. so the answer should be (3, infinity) correct?
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Algebra.Com's Answer #382411 by LisaJ(11)\"\" \"About 
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That is almost correct, because x=3 is the cutoff point. But this expression is real when x is less than or equal to 3, not when x is greater than 3. You can see that by trying a larger number, such as x = 10. Then (15-5x) is negative, and the square root is not real.
\n" ); document.write( "On the other hand, when x = 0, (15-5x) = 15, and the square root is real.
\n" ); document.write( "So the answer is (-infinity, 3).
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