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You can put this solution on YOUR website!
equation is:
\n" ); document.write( "8y - 10*2 < 10y - 3*5
\n" ); document.write( "simplify to get:
\n" ); document.write( "8y - 20 < 10y - 15
\n" ); document.write( "add 20 to both sides of the equation to get:
\n" ); document.write( "8y < 10y + 5
\n" ); document.write( "subtract 10y from both sides of the equation to get:
\n" ); document.write( "-2y < 5
\n" ); document.write( "divide both sides of the equation by -2 to get:
\n" ); document.write( "y > -(5/2)
\n" ); document.write( "note that when you multiply or divide both sides of an inequality by a negative number, the inequality reverses.
\n" ); document.write( "your solution is:
\n" ); document.write( "y > -(5/2)
\n" ); document.write( "to confirm, substitute values of y in your original equation to see if the equation holds true or not.
\n" ); document.write( "pick a value for y smaller than -(5/2), equal to -(5/2), and greater than -(5/2)
\n" ); document.write( "pick values that are easy to calculate.
\n" ); document.write( "i would pick y = -3, y = -(5/2), y = -2
\n" ); document.write( "your original equation is:
\n" ); document.write( "8y-10*2 < 10y - 3*5
\n" ); document.write( "simplify this to get:
\n" ); document.write( "8y-20 < 10y-15
\n" ); document.write( "when y = -3, this equation becomes:
\n" ); document.write( "8*(-3)-20 < 10*(-3)-15 which becomes:
\n" ); document.write( "-24-20 < -30-15 which becomes:
\n" ); document.write( "-44 < -45 which is false, as it should be, because y is not greater than -(5/2) in this case.
\n" ); document.write( "when y = -(2/5), the equation of:
\n" ); document.write( "8y-20 < 10y-15 becomes:
\n" ); document.write( "8*(-5/2)-20 < 10*(-5/2)-15 which becomes:
\n" ); document.write( "(-40/2)-20 < (-50/2)-15 which becomse:
\n" ); document.write( "(-40/2)-(40/2) < (-50/2)-(30/2) which becomes:
\n" ); document.write( "-80/2 < -80/2 which is false, as it should be, because y is not greater than -(5/2) in this case. it is equal to -(5/2).
\n" ); document.write( "when y = -2, the equation of:
\n" ); document.write( "8y-20 < 10y-15 becomes:
\n" ); document.write( "8*(-2)-20 < 10*(-2)-15 which becomes:
\n" ); document.write( "-16-20 < -20-15 which becomes:
\n" ); document.write( "-36 < -35 which is true, as it should be, because y is greater than -(5/2) in this case.\r
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