document.write( "Question 126046: 7<3x-8<19 \n" ); document.write( "
Algebra.Com's Answer #92371 by marcsam823(57)\"\" \"About 
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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
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