document.write( "Question 108980: I am to Solve this inequality...the actual answer is (-9/5, 1)
\n" ); document.write( "(didnt know how to make vertical lines but the 5k+2 has vertical lines on each side)
\n" ); document.write( "\"5k%2B2+++-3+is+less+than+or+equal+to+4\"\r
\n" ); document.write( "\n" ); document.write( "What I got so far
\n" ); document.write( "5k+2 -3 <=4
\n" ); document.write( "7k-3<=4
\n" ); document.write( "4k-3<=4-3
\n" ); document.write( "4k<=1
\n" ); document.write( "I was thinking next to take each side divide by 4 but it wasnt working out\r
\n" ); document.write( "\n" ); document.write( "Can you please help me find out where I went wrong.\r
\n" ); document.write( "\n" ); document.write( "Thank you so much :) \n" ); document.write( "
Algebra.Com's Answer #79457 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"abs%285k%2B2%29-3%3C=4\" Start with the given inequality\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"abs%285k%2B2%29%3C=7\" Add 3 to both sides.\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( "\"5k%2B2+%3E=+-7\" and \"5k%2B2+%3C=+7\" Break up the absolute value inequality using the given rule\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-7+%3C=+5k%2B2+%3C=+7\" 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( "\"-9+%3C=+5k+%3C=+5\" Subtract 2 from all sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-9%2F5+%3C=+k+%3C=+1\" Divide all sides by 5 to isolate k\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( "\"-9%2F5+%3C=+k+%3C=+1\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "which looks like this in interval notation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "note: since the inequality was less than or equal to, that means the end points are included. So that is why brackets are used instead of parenthesis.
\n" ); document.write( " \n" ); document.write( "
\n" );