document.write( "Question 68285This question is from textbook
\n" ); document.write( ": Solve the equation |X + 11| = |2X + 5|\r
\n" ); document.write( "\n" ); document.write( "Here is what I have tried so far but it is not matching to any answer I have.\r
\n" ); document.write( "\n" ); document.write( "x + 11 = - 2x + 5 and -x +11 = 2x + 5\r
\n" ); document.write( "\n" ); document.write( "with this my answer are x=-2 and x=-6 but they are not correct \n" ); document.write( "
Algebra.Com's Answer #48582 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Solve the equation |X + 11| = |2X + 5|
\n" ); document.write( "Since absolute value has different meaning, depending on whether
\n" ); document.write( "the inner expression is positive or negative, you have to start
\n" ); document.write( "by finding the zero values of the inner expressions.
\n" ); document.write( "If x+11=0 then x=-11
\n" ); document.write( "If 2x+5=0 then x=-5/2
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\n" ); document.write( "Mark these two values on a number line thus creating three intervals.
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\n" ); document.write( "Now check for solutions in each of the intervals (-inf,-11),(-11,-5/2),
\n" ); document.write( "and (-5/2,inf).
\n" ); document.write( "If x=-100 your equation becomes -(x+11) = -(22x-5); 21x=16; x = 16/21
\n" ); document.write( "If x=-8 your equation becomes x+11=-(2x+5); 3x=-16; x=-16/3
\n" ); document.write( "If x=100 your equation becomes x+11=2x+5 which gives x=16/21
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\n" ); document.write( "Conclusion: x=16/21 or x=-16/3
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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