document.write( "Question 224574: This problem is from the tenth edition Beginning Algebra:
\n" ); document.write( "Instruction for the problem is Solve each inequality. Write the solution set in interval notation and graph it. I know how to write it in interval notation and how to graph it. I have tried several times to get rid of the fractions and I'm doing something wrong because the answer is (-infinity,32) and I just can't get there. Here is the problem: 2/3(p+3)>5/6(p-4). I know I use the distributive property first and get 2/3p+2>5/6p-10/3.
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Algebra.Com's Answer #167764 by ankor@dixie-net.com(22740)\"\" \"About 
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2/3(p+3 )> 5/6(p-4)
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\n" ); document.write( "I think the first thing to do is multiply both sides by 6 and get rid of those
\n" ); document.write( "fractions. That leaves you with
\n" ); document.write( "4(p+3) > 5(p-4)
\n" ); document.write( "Now distribute
\n" ); document.write( "4p + 12 > 5p - 20
\n" ); document.write( "We want the unknowns on the left here
\n" ); document.write( "4p - 5p > -20 - 12
\n" ); document.write( "-p > -32
\n" ); document.write( "Multiply by -1 to get rid of the negative p; when we do that, we have to
\n" ); document.write( "reverse the inequality sign.
\n" ); document.write( "p < 32
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