document.write( "Question 391771: Linear and non-linear Inequalities
\n" ); document.write( "For what values of x does the expression $\"+sqrt%28%28+x+%29%2F%282-x%29%285%2Bx%29%29+\"$ represent a real number?
\n" ); document.write( "Please solve this inequality drawing a number line and showing the interval notations. \n" ); document.write( "

Algebra.Com's Answer #277942 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
sqrt(( x )/(2-x)(5+x))
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\n" ); document.write( "The radicand must be positive.
\n" ); document.write( "Solve: (( x )/(2-x)(5+x))> 0
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\n" ); document.write( "Draw a number line and plot -5,0,2
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\n" ); document.write( "Test a value from each of the resulting intervals
\n" ); document.write( "in the inequality:
\n" ); document.write( "If x = -10 you get -/[+*-]>0; true so solutions in (-inf,-5)
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\n" ); document.write( "If x = -2 you get -/[+*+]>0; false
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\n" ); document.write( "If x = 1 you get +/[+*+]>0; true so solutions in (0,2)
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\n" ); document.write( "If x = 5 you get +/[-*+]>0; false
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\n" ); document.write( "Conclusion: (-inf,-5)U(0,2)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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