15. In each of the following statements, replace the blanks by words/expressions

Question

15. In each of the following statements, replace the blanks by words/expressions 17 of 97 plies, because, each, not, true, false, hypothesis, zero, one, theorem, follous so that the statements are true. Then supply a proof. ,only if, only, since, therefore, some, then, by, even, im 16 (a)is a positive natural number+1 is divisible a prime number. (b)natural number divides a fired integer then that integer is (c)S be a set vith a single element.there is sequence starting atlisting elements of S (d) The statements "A implies B and "B istrueA is true are equivalent. (e)

Explanation / Answer

(a) if n is a positive natura number then n+1 is divisible by a prime number.

(b.) if every natural number divides a fixed integer the that integer is zero.

(c.) If S be a set with a singe element. then there is no sequence starting at any listing elements of S.

(d.) The statements "A implies B" and "B is not true implies A is not true " are equivalent.

(e.) if x<y be a real numbers. such y<0 implies |y|<|x|.

Thankyou

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