document.write( "Question 578005: Solve.
\n" ); document.write( "(x+16)(x-10)(x+7)>0 \n" ); document.write( "

Algebra.Com's Answer #370477 by KMST(5328) $\"\"$ $\"About$

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Each of the factors has a zero. Each factor is equal to zero for that x value; it's positive for greater x values and negative for lesser x values.
\n" ); document.write( "The zeros, where one factor is zero, and therefore the whole product expression is zero are:
\n" ); document.write( " $\"x=-16\"$ , $\"x=-7\"$ , and $\"x=10\"$
\n" ); document.write( "For $\"x%3E10\"$ , all 3 factors and the product are positive $\"%28x%2B16%29%28x-10%29%28x%2B7%29%3E0\"$
\n" ); document.write( "As we move across each zero, one of the factors changes sign, and so does the product.
\n" ); document.write( "For $\"-7%3Cx%3C10\"$ , $\"%28x%2B16%29%28x-10%29%28x%2B7%29%3C0\"$
\n" ); document.write( "For $\"-16%3Cx%3C-7\"$ , $\"%28x%2B16%29%28x-10%29%28x%2B7%29%3E0\"$
\n" ); document.write( "For $\"x%3C-16\"$ , $\"%28x%2B16%29%28x-10%29%28x%2B7%29%3C0\"$
\n" ); document.write( "So the solutions are $\"highlight%28x%3E10%29\"$ and $\"highlight%28-16%3Cx%3C-7%29\"$ . \n" ); document.write( "

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