document.write( "Question 515916: How do I solve problems like |3x| + 4 < 34? I've tried this first to get two solutions. |3x| + 4 < 34 and |3x| + 4 < -34. Then I subtracted 4 from both sides to get 3x < 30 and 3x < -38. The solutions that I arrived at were x < 10 and x < -38/3. Is this correct? \n" ); document.write( "
Algebra.Com's Answer #345220 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! How do I solve problems like |3x| + 4 < 34? I've tried this first to get two solutions. |3x| + 4 < 34 and |3x| + 4 < -34. Then I subtracted 4 from both sides to get 3x < 30 and 3x < -38. The solutions that I arrived at were x < 10 and x < -38/3. Is this correct \n" ); document.write( "** \n" ); document.write( "for 3x>0 \n" ); document.write( "3x+4<-34 \n" ); document.write( "3x<-38 \n" ); document.write( "x<-38/3 \n" ); document.write( ".. \n" ); document.write( "for 3x< \n" ); document.write( "-3x+4<-34 \n" ); document.write( "-3x<-38 \n" ); document.write( "divide by -3 and reverse inequality sign \n" ); document.write( "x>38/3 \n" ); document.write( "solution: \n" ); document.write( "(-∞,-38/3) U (38/3, ∞) \n" ); document.write( "note:To find both solutions you only need to change the sign inside the absolute bars. \n" ); document.write( " |