Let ∅ 6= A, B ⊆ R and α∈ R. Consider the following subsets:
A + B := {a + b : a ∈ A, b ∈ B}
Show that, if A and B are bounded above, then so is A + B and sup A + B = sup A + sup B.\
Let ∅ 6= A, B ⊆ R and α∈ R. Consider the following subsets:
A + B := {a + b : a ∈ A, b ∈ B}
Show that, if A and B are bounded above, then so is A + B and sup A + B = sup A + sup B.\