Suppose b is an integer. Consider the following implication about b. Statement 2: If for all...

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Suppose b is an integer. Consider the following implication about b. Statement 2: If for all ke N, btk, then b = 0. (a) State the hypothesis of Statement 2. (b) State the conclusion of Statement 2. (c) State the converse of Statement 2. (d) State the contrapositive of Statement 2. 13 (f) State the negation of Statement 2 without using the word "not" or the symbol (but symbols such as, t, etc. are fine). (f) Prove Statement 2. Suppose b is an integer. Consider the following implication about b. Statement 2: If for all ke N, btk, then b = 0. (a) State the hypothesis of Statement 2. (b) State the conclusion of Statement 2. (c) State the converse of Statement 2. (d) State the contrapositive of Statement 2. 13 (f) State the negation of Statement 2 without using the word "not" or the symbol (but symbols such as, t, etc. are fine). (f) Prove Statement 2.