Suppose that the product of two natural numbers is odd. A whole number a is even if and only if there is a whole number k such that a = 2k. A whole number is odd if and only if there is a whole number j such that b = 2j + 1. Use these representations to explain why both factors must be odd. First, identify all the information that is known or given. Check all that apply. O A. Every odd number can be written in the form 2j + 1 where j is any whole number. O B. Every even number can be written in the form 2k where k is any whole number. O c. The product of the two natural numbers is even.

discrete math

Find the distance between E and F on the number line below. E + -12 -11 -10 -9 -8 -7 -6 -5 Distance: 0 -4 -3 -2 -1 0 1 F ● 2 $ 3 4 5 6 7 8 9 10 11 12

Suppose you want to refute the statement: There are some natural numbers a, b, and c where a | b and b | c but a does not divide c.  Which of the following would be an appropriate strategy for you to employ? Group of answer choices Show specific values for a, b, and c where a | b and b | c and a | c. Show specific values for a, b, and c where a does not divide b and b does not divide c, but a | c. Show for any generic choices of a, b, and c that if a | b and b | c then a | c. Show for any generic choices of a, b, and c if a does not divide b and b does not divide c then a does not divide c.