Provide a counterexample (specific values of a, b, etc. which make the statement false) for each of the following statements. assume that a, b,c, d ∊ ℤ for all statements. 1. if a i bc, then a i b or a i c. 2. if ab i cd , then a i b and c i d. 3. if a i b^2 , then a i b.

1. a=3, b = 2, c = 1.

2. a=2, b=3, c=4, d=6.

3. a = 9, b = 3.

Step-by-step explanation:

1.  3 | 21   is a counterexample  because 3 does not divide into  2 or 1.

2. 23 | 46 is a counterexample because 2 does not divide into 3.

3. 9 | 3^2 is a counterexample because 9 does not divide into 3.

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.