document.write( "Question 894354: |2x÷5-14÷30+x÷15|> 0 \n" ); document.write( "

Algebra.Com's Answer #541967 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"abs%28%28%282%2F5%29x-14%29%2F%2815x%2B30%29%29%3E0\"$
\n" ); document.write( "Since the left hand side is the absolute value function, it's value will always be greater than or equal to zero.
\n" ); document.write( "So all $\"x\"$ make this true except when the numerator is zero.
\n" ); document.write( " $\"%282%2F5%29x-14=0\"$
\n" ); document.write( " $\"%282%2F5%29x=14\"$
\n" ); document.write( " $\"x=35\"$
\n" ); document.write( "In addition, since division by zero is not defined, the value of $\"x\"$ when the denominator equals zero is also excluded from the domain.
\n" ); document.write( " $\"15x%2B30=0\"$
\n" ); document.write( " $\"15x=-30\"$
\n" ); document.write( " $\"x=-2\"$
\n" ); document.write( "So the solution region is,
\n" ); document.write( "( $\"-infinity\"$ , $\"-2\"$ )U( $\"-2\"$ , $\"35\"$ )U( $\"35\"$ , $\"infinity\"$ )
\n" ); document.write( " \n" ); document.write( "

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