document.write( "Question 938739: What is the solution set of | x - 5 | = -3? \n" ); document.write( "

Algebra.Com's Answer #571923 by MathLover1(20849) $\"\"$ $\"About$

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The absolute value of $\"x\"$ , denoted \" $\"abs%28+x+%29\"$ \" (and which is read as \"the absolute value of $\"x\"$ \"), is the distance of $\"x\"$ from $\"zero\"$ . This is why absolute value is $\"never\"$ $\"+negative\"$ ; absolute value only asks \"how far?\", not \"in which direction?\" This means not only that $\"abs%28+3+%29+=+3\"$ , because $\"3\"$ is three units to the right of zero, but also that $\"abs%28+3+%29+=+3\"$ , because $\"-3\"$ is three units to the left of zero.\r
\n" ); document.write( "\n" ); document.write( "you have $\"abs%28+x-5+%29+=+-3\"$ and it means $\"abs%28+x-5+%29\"$ is equal to negative number $\"-3\"$ which cannot be; so, there is $\"no\"$ solution for given equation \n" ); document.write( "

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