SOLUTION: if a < b, then -a > -b. Why is this? Explain and suppose, a = 4 and b = 1 and write in a number line

Algebra ->  Number-Line -> SOLUTION: if a < b, then -a > -b. Why is this? Explain and suppose, a = 4 and b = 1 and write in a number line       Log On


   

Question 350027: if a < b, then -a > -b. Why is this? Explain and suppose, a = 4 and b = 1 and write in a number line
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a+%3C+b Start with the given inequality.


a-b+%3C+cross%28b-b%29 Subtract b from both sides.


a-b+%3C+0 Simplify


cross%28a-a%29-b+%3C+0-a Subtract 'a' from both sides.


-b+%3C+-a Simplify


-a%3E-b Flip the inequality (this is possible since x%3Ey is the same as y%3Cx and vice versa)


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