document.write( "Question 730124: solve the inequality -4<-3y+2<11 \n" ); document.write( "
Algebra.Com's Answer #446521 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "-4 < -3y + 2 < 11\r\n" );
document.write( "\r\n" );
document.write( "Add -2 to all three sides:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "-4 < -3y + 2 < 11\r\n" );
document.write( "-2       - 2   -2\r\n" );
document.write( "-----------------\r\n" );
document.write( "-6 < -3y     <  9\r\n" );
document.write( "\r\n" );
document.write( "Now we have\r\n" );
document.write( "\r\n" );
document.write( "-6 < -3y < 9  \r\n" );
document.write( "\r\n" );
document.write( "We divide all three sides by -3 remembering to\r\n" );
document.write( "reverse the inequality because we have divided\r\n" );
document.write( "by a negative number:\r\n" );
document.write( "\r\n" );
document.write( "\"%28-6%29%2F%28-3%29\" > \"%28-3y%29%2F%28-3%29\" > \"9%2F%28-3%29\"\r\n" );
document.write( "\r\n" );
document.write( "    2 > y > -3\r\n" );
document.write( "\r\n" );
document.write( "which can be left that way or written smallest to largest\r\n" );
document.write( "\r\n" );
document.write( "  -3 < y < 2, which is often abbreviated as (-3,2), known\r\n" );
document.write( "as \"interval notation\".\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );