Question

Prove this:
If x >y and z >0 then x+z>y

Answer 1

related to triangle or not

Answer 2

x + z > x (because z > 0)
x > y (given)
x + z > y (transitive property)

Answer 3

1) x > y (Given)
2) z > 0 (Given)
3) x + z > y + 0 (Addition Property of Inequality)
4) x + z > y (Additive Identity Propery -> y + 0 = y)
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