If a > b and c ≥ d, is a + c > b + d?

AxiomOfChoice · 2009-09-13T22:43:13+00:00

If you have a > b and c \geq d, do you have a + c > b + d?

1 reply · 3K views · last reply Sep 13, 2009

AxiomOfChoice

If you have [itex]a > b[/itex] and [itex]c \geq d[/itex], do you have [itex]a + c > b + d[/itex]?

Discussion

Moo Of Doom

Yes you do, but it's a theorem about ordered fields, not an axiom (usually). You may try to prove it from the axioms.