Question

In: Advanced Math

1. Are the following statements true or false? For each, explain why. (a) 15 divides 5...

1. Are the following statements true or false? For each, explain why.

(a) 15 divides 5

(b) gcd(4, 16) = 2

(c) 46 ≡ 2 (mod 4)

(d) For any positive even integer n, gcd(12, n) = 2.

(e) For all integers x, if 10 does not divide x, then 10 does not divide 22x.

(f) For all integers y, if gcd(9, y) = 3, then gcd(9, y2 ) = 9.

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