document.write( "Question 776554: I'm confused by the outcome I get from the problem 1/4|x-3|+2 <1 since < in the original equation is supposed to represent \"and\", yet my answer when graphed shows an \"or\" trend on my number line. When I solved it, I ended out with x <7 and x>-1. If you see anything I've done wrong, please correct me, and I thank you in advance for your input. \n" ); document.write( "
Algebra.Com's Answer #473602 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! I'm confused by the outcome I get from the problem 1/4|x-3|+2 <1 since < in the original equation is supposed to represent \"and\", yet my answer when graphed shows an \"or\" trend on my number line. When I solved it, I ended out with x <7 and x>-1. If you see anything I've done wrong, please correct me, and I thank you in advance for your input. \n" ); document.write( "----------- \n" ); document.write( "Absolute value problems usually give 2 answers, thus the \"or.\" \n" ); document.write( "---- \n" ); document.write( "1/4|x-3|+2 <1 \n" ); document.write( "Multiply by 4 \n" ); document.write( "|x-3| + 8 < 4 \n" ); document.write( "Subtract 8 \n" ); document.write( "|x-3| < -4 \n" ); document.write( "--> no solution \n" ); document.write( "Absolute value cannot be negative. \n" ); document.write( " \n" ); document.write( " |