document.write( "Question 126046: 7<3x-8<19 \n" ); document.write( "
Algebra.Com's Answer #92371 by marcsam823(57)![]() ![]() ![]() You can put this solution on YOUR website! 7<3x-8<19 \n" ); document.write( "The goal in algebra is to get the x all by itself on one side of the equation (or in this case the inequality) \n" ); document.write( "1. Add 8 to all sides: \n" ); document.write( " 15 < 3x < 27\r \n" ); document.write( "\n" ); document.write( "2. Divide everything by 3: \n" ); document.write( " 5 < x < 9 \n" ); document.write( " Answer: the set of numbers [6,7,8] \n" ); document.write( "3. Check (pick a number between 5 and 9 and substitute into the original \n" ); document.write( " inequality - Let's use 6): \n" ); document.write( " 7 < 3(6)- 8 < 19 \n" ); document.write( " 7 < 18 - 8 < 19 \n" ); document.write( " 7 < 10 < 19 = true \n" ); document.write( "*Check for yourself using 7 or 8 \n" ); document.write( " |