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Question: anyone who can help me please please explain number 2...

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Anyone who can help me please
Please explain
and lubAa. (2) Prove that if c e R is an upper bound of A and c A, then A has a least upper in lot element of A, then A has a greatest lower boun bound and c lubA.
iul tE missing part of Step 3 of the . That is, prove that k is surjective. xercise 2.7.5. [Used in Theorem 2.7.1.] Let e Least Upper Bound Property, and let p: Ri -R2 be a function. Suppose that r+y)p(x) + p) for all x,yeR (1) Prove that p(0)-0 (2) Prove that p(-x)-px) for all x e Ri. rcise 2.7.6. Let Ri and R2 be ordered fields that saticf erty. Prove that there is a and R2 be ordered fields that satisfyNumber 2 on this one please


Exercise 2.8.9. Let n Z. T n 2k: he integer n is even if there is some k e Z such that the integer n is odd if there is some k E Z such that n 2k + 1 . Prove that every integer is either even or odd, but not both. [Use Exercise 2.3.5 (2) and Exercise 2.8.8.j
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