document.write( "Question 281480: my inequality is -4y > 3x+2 when i divide out the -4 at the end half of the problem to solve for y do i divide it from all terms \n" ); document.write( "
Algebra.Com's Answer #204466 by stanbon(75887)\"\" \"About 
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my inequality is -4y > 3x+2 when i divide out the -4 at the end half of the problem to solve for y do i divide it from all terms
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\n" ); document.write( "You are required to maintain the relation of the left side
\n" ); document.write( "to the right side; also you have to keep in mind that
\n" ); document.write( "dividing or multiplying an inequality by a negative quantity
\n" ); document.write( "reverses the order of the inequality.
\n" ); document.write( "So dividing by -4 causes three changes:
\n" ); document.write( "1st: the sign of the left side changes
\n" ); document.write( "2nd: the sign of the right side changes
\n" ); document.write( "3rd: the order of the inequality changes
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\n" ); document.write( "So you get:
\n" ); document.write( "y< -[(3x+2)/4]
\n" ); document.write( "Then y < -[(3/4)x+(1/2)]
\n" ); document.write( "And
\n" ); document.write( "y < (-3/4)x - (1/2)
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\n" ); document.write( "Another way to look at the solution is the following
\n" ); document.write( "-4y > 3x+2
\n" ); document.write( "Add 4y to both sides and you get:
\n" ); document.write( "0 > 4y+3x+2
\n" ); document.write( "Now, subtract 3x+2 from both sides and you get:
\n" ); document.write( "-3x-2 > 4y
\n" ); document.write( "Now divide both sides by +4
\n" ); document.write( "(-3/4)x -(1/2) > y
\n" ); document.write( "Write the y on the left side as is normally done
\n" ); document.write( "y < (-3/4)x - (1/2)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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