document.write( "Question 223784: Write an inequality for each relationship. Solve each inequality
\n" ); document.write( "Four more than twice a number is greater than two-thirds of the number
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Algebra.Com's Answer #167460 by ankor@dixie-net.com(22740)\"\" \"About 
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Four more than twice a number is greater than two-thirds of the number
\n" ); document.write( "written as:
\n" ); document.write( "2x + 4 > \"2%2F3\"x
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\n" ); document.write( "Subtract 4 from both sides:
\n" ); document.write( "2x > \"2%2F3\"x - 4
\n" ); document.write( ":
\n" ); document.write( "subtract \"2%2F3\"x from both sides
\n" ); document.write( "2x - \"2%2F3\"x > -4
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\n" ); document.write( "which is
\n" ); document.write( "\"6%2F3\"x - \"2%2F3\"x > -4
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\n" ); document.write( "\"4%2F3\"x > -4
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\n" ); document.write( "Multiply both sides by 3 to get rid of the denominator
\n" ); document.write( "4x > 3(-4)
\n" ); document.write( "4x > -12
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\n" ); document.write( "Divide both sides by 4
\n" ); document.write( "x > \"%28-12%29%2F4\"
\n" ); document.write( "x > -3
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\n" ); document.write( "Check solution with a value that is greater than -3, say -2
\n" ); document.write( "2(-2) + 4 > \"2%2F3\"(-2)
\n" ); document.write( "-4 + 4 > \"%28-4%29%2F3\"
\n" ); document.write( "0 > \"-4%2F3\"x; that's true
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\n" ); document.write( "Check solution with a value that is less than -3, say -4
\n" ); document.write( "2(-4) + 4 > \"2%2F3\"(-4)
\n" ); document.write( "-8 + 4 > \"%28-8%29%2F3\"
\n" ); document.write( "-4 > \"-8%2F3\"x; that's not rue
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