Outline a proof of the following statement by writing the \"starting point\" and

Question

Outline a proof of the following statement by writing the "starting point" and the "conclusion to be shown" in a proof of the statement: forall real numbers r and s, if r and s are rational then r - s is rational. I) Proof: Suppose r and s, are any [particular but arbitrarily chosen] rational numbers. We must show that r - s is rational. II) Proof: Suppose r and s, are any [particular but arbitrarily chosen] rational numbers. We must show that r - s is irrational. III) Proof: Suppose r = -1.78 and s = 3.333, then they are rational numbers. We must show that r - s is rational. IV) Proof: Suppose r and s, are any real numbers. We must show that r - s is rational.

Explanation / Answer

option 1 is correct, starting point : if r and s are any rational number

conclusion : then r-s is rational number

option 2 is incorrect, because here says that r-s is irrational number option 3 is incorrect, because r and s are not arbitrary. option 4 is incorrect, because here r and s taking as real number.

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