SOLUTION: prove that if {{{a<b}}} and {{{c<d}}} then {{{a+c<b+d}}}

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Question 505225: prove that if a%3Cb and c%3Cd then a%2Bc%3Cb%2Bd
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Since a%3Cb, by adding c to both sides we have a+%2B+c+%3C+b+%2B+c
Since c%3Cd, by adding b to both sides we have b+%2B+c+%3Cb+%2B+d
Thus we have a+%2B+c+%3C+b+%2B+c%3C+b+%2B+d implying
a+%2B+c+%3Cb+%2B+d.