document.write( "Question 1204741: evan weighs 220 pounds. He wanted to weight less than 200 pounds. If he can lose an average of 2 pounds per month on a certain diet, how long should he stay on his diet to reach his goal weight? \n" ); document.write( "
Algebra.Com's Answer #841193 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "n = number of months
\n" ); document.write( "2n = number of pounds lost over those n months
\n" ); document.write( "220 = starting weight
\n" ); document.write( "220 - 2n = final weight
\n" ); document.write( "220 - 2n < 200
\n" ); document.write( "-2n < 200 - 220
\n" ); document.write( "-2n < -20
\n" ); document.write( "n > -20/(-2) .... inequality sign flip
\n" ); document.write( "n > 10\r
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\n" ); document.write( "\n" ); document.write( "Another way to solve
\n" ); document.write( "220 - 2n < 200
\n" ); document.write( "220 < 200+2n
\n" ); document.write( "2n+200 > 220
\n" ); document.write( "2n > 220-200
\n" ); document.write( "2n > 20
\n" ); document.write( "n > 20/2 .... no sign flip this time
\n" ); document.write( "n > 10
\n" ); document.write( "The inequality sign only flips if dividing both sides by a negative number.\r
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\n" ); document.write( "\n" ); document.write( "Answer: Evan needs to be on the diet for more than 10 months to reach his goal weight.
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