document.write( "Question 347979: 3 <= 4 + 3x/2 <= 2 \n" ); document.write( "
Algebra.Com's Answer #248797 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
Hi,
\n" ); document.write( "In answer to your reply: choices being as follows for an answer to the \"solution set\":
\n" ); document.write( "a. {x|x > 2/3} b. {x|2/3 <= x <= 0} c. { } d. {x|x < 2/3}
\n" ); document.write( ".
\n" ); document.write( "Note: the results shown here indicated \"x+%3C=+-4%2F3\" and \"x%3E=+-2%2F3\"
\n" ); document.write( "That is : x is to be all numbers to the left of -4/3 and all numbers to the right of -2/3.
\n" ); document.write( "The intersection of these graphs contains no numbers:
\n" ); document.write( "thus { } would be the correct response as to what is the 'solution set'
\n" ); document.write( ".
\n" ); document.write( "solving and determining the solution set are two separate steps.
\n" ); document.write( "The solution set of a compound inequality is always the Union of the two inequalties found to be true or the points they have in common. Hope this helps. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hi,
\n" ); document.write( "*Note: a step at a time\r
\n" ); document.write( "\n" ); document.write( "\"3+%3C=+4+%2B+3x%2F2+%3C=+2\"
\n" ); document.write( ".
\n" ); document.write( "Take right side:
\n" ); document.write( "Subtract 4 from each side
\n" ); document.write( "\"3x%2F2+%3C=+-2\"
\n" ); document.write( ".
\n" ); document.write( "Multiply both sides of the two inequalities by 2/3
\n" ); document.write( "\"x%3C=+-4%2F3\"
\n" ); document.write( ".
\n" ); document.write( "Take left side: Solve
\n" ); document.write( "\"3+%3C=+4+%2B+3x%2F2\"
\n" ); document.write( "\"-1+%3C=+3x%2F2\"
\n" ); document.write( "\"-2%2F3+%3C=+x\"
\n" ); document.write( ".
\n" ); document.write( "combine
\n" ); document.write( "\"-2%2F3+%3C=+x%3C=-4%2F3\"
\n" ); document.write( "
\n" );