# 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)   (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(499)   (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