document.write( "Question 30617: solve each compound ineqaulity and write the solution set using interval notation.
\n" ); document.write( "-3<(3x-1)/5<1/2 and 1/3<(3-2x)/6<9/2 \n" ); document.write( "

Algebra.Com's Answer #17345 by Cintchr(481) $\"\"$ $\"About$

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$\"+-3%3C%283x-1%29%2F5%3C1%2F2+\"$ and $\"+1%2F3%3C%283-2x%29%2F6%3C9%2F2+\"$
\n" ); document.write( "We will solve these one at a time. As these are compound inequalities, like an equation where if you add 5 to each side .... here you do it to all three parts of the inequality.
\n" ); document.write( " $\"+-3%3C%283x-1%29%2F5%3C1%2F2+\"$ Multiply by 5
\n" ); document.write( " $\"+-15%3C3x-1%3C5%2F2+\"$ Add 1
\n" ); document.write( " $\"+-14%3C3x%3C7%2F2+\"$ divide by 3
\n" ); document.write( " $\"+-14%2F3%3Cx%3C7%2F6+\"$ the smaller value is on the left, the larger on the right, and the <> symbols are pointing left. If you need to reduce the fractions to mixed numbers, do so now.
\n" ); document.write( " $\"+1%2F3%3C%283-2x%29%2F6%3C9%2F2+\"$ Multiply by 6
\n" ); document.write( " $\"+6%2F3%3C3-2x%3C54%2F2+\"$ reduce the fractions now
\n" ); document.write( " $\"+2%3C3-2x%3C27+\"$ subtract 3
\n" ); document.write( " $\"+-1%3C-2x%3C24+\"$ Divide by negative 2
\n" ); document.write( "DONT FORGET TO FLIP THE < > SYMBOL WHEN * OR / BY A NEGATIVE!!!!
\n" ); document.write( " $\"+1%2F2%3Ex%3E-12+\"$ Smaller number needs to be on the left ... flip the WHOLE thing end for end
\n" ); document.write( " $\"+-12%3Cx%3C1%2F2+\"$ \r
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