document.write( "Question 817175: Please help me solve this : |2X+1|-2<0
\n" ); document.write( "thanks. \n" ); document.write( "

Algebra.Com's Answer #491930 by jsmallt9(3758) $\"\"$ $\"About$

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$\"abs%282x%2B1%29-2%3C0\"$
\n" ); document.write( "First isolate the absolute value. Adding 2 we get:
\n" ); document.write( " $\"abs%282x%2B1%29%3C2\"$
\n" ); document.write( "Rewrite the inequality without absolute value. This results in two inequalities:
\n" ); document.write( "2x+1 < 2 and 2x+1 > -2
\n" ); document.write( "(The first one handles the case when 2x+1 is not negative and the second one handles the case when 2x+1 is negative.) Now we solve these:
\n" ); document.write( "2x < 1 and 2x > -3
\n" ); document.write( "Divide by 2:
\n" ); document.write( " $\"x+%3C1%2F2\"$ and $\"x+%3E+-3%2F2\"$ \n" ); document.write( "

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