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## Homework Statement

Prove:

If a < b and c < d then a+c < b+d

## Homework Equations

## The Attempt at a Solution

Proof

Assume a < b and c < d

then a+c < b+c and b+c < b+d

so a+c < b+c < b+d

therefore a+c < b+d

Q.E.D.

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