SOLUTION: If a < b, then -a > -b. Why?

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Question 4242: If a < b, then -a > -b. Why?
Found 2 solutions by xcentaur, ichudov:
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
a < b


From this we understand that a is smaller than b.


In other words,b is greater than a.


Now,
suppose a is 3,and b is 5.
then b is still great than a


3 < 5
a < b


-3 ? -5
Now think,which is the BIGGER number ... -3 or -5?
the bigger number is -3.


Suppose you have 60 candles.let that be Z.
z-a > z-b
Is the above statement true or false?


It is true,because
60-3 > 60-5


Hence,
if a < b
then -a > -b


Hope this helps


Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Start with:
a < b (a less than b)
that's the same as saying
b > a
Look at
b > a
subtract a from both sides:
b-a > a-a
b-a > 0
subtract b from both sides:
b-a-b > -b
b and -b cancel out
-a > -b
QED