document.write( "Question 100436This question is from textbook prentic all mathmatics algebra 1
\n" ); document.write( ": -6>4y
\n" ); document.write( "8-u>4
\n" ); document.write( "5w>-6w+11
\n" ); document.write( "6y-7<-2y+13
\n" ); document.write( "|2h+1|<5
\n" ); document.write( "-10<4q<12
\n" ); document.write( "5(-2+b)<3b+2
\n" ); document.write( "10k<75and4-k<0
\n" ); document.write( "0.5(x+3)-2.1>-1
\n" ); document.write( "

Algebra.Com's Answer #73153 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'll do the first three, and the absolute value problem, to give you an idea on how to do these\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "#1\r
\n" ); document.write( "\n" ); document.write( "\"-6%3E4y\" Start with the given inequality\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-6%2F4%3Ey\" Divide both sides by 4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-3%2F2%3Ey\" Reduce\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the answer is \"y%3C-3%2F2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "#2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8-u%3E4\" Start with the given inequality\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-u%3E4-8\"Subtract 8 from both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-u%3E-4\" Combine like terms on the right side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"u%3C%28-4%29%2F%28-1%29\" Divide both sides by -1 to isolate u (note: Remember, dividing both sides by a negative number flips the inequality sign) \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"u%3C4\" Divide\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"u%3C4\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "#3\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5w%3E-6w%2B11\" Start with the given inequality\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5w%2B6w%3E11\" Add 6w to both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"11w%3E11\" Combine like terms on the left side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"w%3E%2811%29%2F%2811%29\" Divide both sides by 11 to isolate w \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"w%3E1\" Divide\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"w%3E1\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "#4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"abs%282h%2B1%29%3C5\" Start with the given inequality\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Break up the absolute value (remember, if you have \"abs%28x%29%3C+a\", then \"x+%3E+-a\" and \"x+%3C+a\")\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2h%2B1+%3E+-5\" and \"2h%2B1+%3C+5\" Break up the absolute value inequality using the given rule\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-5+%3C+2h%2B1+%3C+5\" Combine the two inequalities to get a compound inequality\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-6+%3C+2h+%3C+4\" Subtract 1 from all sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-3+%3C+h+%3C+2\" Divide all sides by 2 to isolate h\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our answer is\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-3+%3C+h+%3C+2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );