document.write( "Question 892179: What is the solution of the inequality x^2<64 \n" ); document.write( "

Algebra.Com's Answer #540334 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
First solve $\"x%5E2=64\"$
\n" ); document.write( " $\"x%5E2-64=0\"$
\n" ); document.write( " $\"%28x-8%29%28x%2B8%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x-8=0\"$
\n" ); document.write( " $\"x=8\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x%2B8=0\"$
\n" ); document.write( " $\"x=-8\"$
\n" ); document.write( "Now break up the number line using these two critical numbers and test the inequality.
\n" ); document.write( " $\"x%3C-8\"$
\n" ); document.write( " $\"-8%3Cx%3C8\"$
\n" ); document.write( " $\"x%3E8\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( " $\"x%3C-8\"$
\n" ); document.write( " $\"x=-10\"$
\n" ); document.write( " $\"%28-10%29%5E2-64%3C0\"$
\n" ); document.write( " $\"100-64%3C+0\"$
\n" ); document.write( " $\"36%3C0\"$
\n" ); document.write( "False, not in the solution region.
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( " $\"x=0\"$
\n" ); document.write( " $\"0%5E2-64%3C0\"$
\n" ); document.write( " $\"-64%3C0\"$
\n" ); document.write( "True, in the solution region.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"x%3E8\"$
\n" ); document.write( " $\"x=10\"$
\n" ); document.write( " $\"%2810%29%5E2-64%3C0\"$
\n" ); document.write( " $\"100-64%3C+0\"$
\n" ); document.write( " $\"36%3C0\"$
\n" ); document.write( "False, not in the solution region.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"highlight%28-8%3Cx%3C8%29\"$
\n" ); document.write( " \n" ); document.write( "

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