document.write( "Question 232048: what does it mean in the below question when it says the opposite of?
\n" ); document.write( "the opposite of three times a number is greater than 12? I know it would be 3n is greater than 12 but what do I do for the opposite of??? \n" ); document.write( "

Algebra.Com's Answer #171590 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
what does it mean in the below question when it says the opposite of?
\n" ); document.write( "the opposite of three times a number is greater than 12?
\n" ); document.write( ":
\n" ); document.write( "generally the opposite of a number means it's multiplied by -1
\n" ); document.write( "If the no. is positive, the opposite is negative
\n" ); document.write( "and
\n" ); document.write( "If the no. is negative, the opposite is positive
\n" ); document.write( ":
\n" ); document.write( "-(3n) > 12
\n" ); document.write( "we need n to be positive, multiply both sides by -1, this reverses the <> signs
\n" ); document.write( "3n < -12
\n" ); document.write( "n < $\"%28-12%29%2F3\"$
\n" ); document.write( "n < -4
\n" ); document.write( ":
\n" ); document.write( "See if this is true -5 is less than -4, let = -5
\n" ); document.write( "-(3(-5)) > 12
\n" ); document.write( "+15 > 12, that is true
\n" ); document.write( ":
\n" ); document.write( "What if n is greater, say n=-2
\n" ); document.write( "-(3(-2)) > 12
\n" ); document.write( "+6 > 12, NOT true \n" ); document.write( "

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