The answers to exercises marked IBB] can be found in the Back of the Book.Repeat Exercise...

The answers to exercises marked IBB] can be found in the Back of the Book.

Repeat Exercise for A = {1, 2, 3, 4, 5, 6, 7} and the relation on A defined by a ~ b if and only if is a power of 2, that is tor some integer t, positive, negative, or zero.

The answers to exercises marked IBB] can be found in the Back of the Book.

Repeat Exercise for A = {1, 2, 3, 4, 5, 6, 7} and the relation on A defined by a ~ b if and only if is a power of 2, that is tor some integer t, positive, negative, or zero.

The answers to exercises marked IBB] can be found in the Back of the Book.

[BB] Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. For a, b ∈ A, define a ~ b if and only if ab is a perfect square (that is, the square of an integer).

(a) What are the ordered pairs in this relation?

(b) For each a ∈ A, find ā = {x ∈ A | x ~ a).

(c) Explain why ~ defines an equivalence relation on A.