Question

Medal and Fan for an Answer

If a and b are real numbers and a < b, is the statement a + c > b + c true? Why or why not?

Answer 1

you can prove it is false by doing a counterexample
0 < 1 , but 0 + 2 < 1 + 2 (not 0 + 2 > 1 + 2 )

Answer 2

can you explain this a little better i have to write a paragraph ab it @perl

Answer 3

The statement is false in general. it is not true that for any real numbers a,b,c
if a < b then a + c > b + c.
We can disprove it with a counterexample. Remember all it takes is one false case to disprove a general claim.
Let a = 0, b = 1 , and c = 2 then it is true that 0 < 1 , but it is false that 0 + 2 > 1 + 2

Answer 4

Thank you sssooooooooooooooooooooo much!!!!!!! @perl