Below you will find pairs of statements A and B. For each pair, please indicate which of

Chapter 4, Problem 4.2

(choose chapter or problem)

Below you will find pairs of statements A and B. For each pair, please indicate which of the following three sentences are true and which are false: If A, then B. If B, then A. A if and only if B.Note: You do not need to prove your assertions.a. A: Polygon PQRS is a rectangle. B: Polygon PQRS is a square.b. A: Polygon PQRS is a rectangle. B: Polygon PQRS is a parallelogram.c. A: Joe is a grandfather. B: Joe is male.d. A: Ellen resides in Los Angeles. B: Ellen resides in California.e. A: This year is divisible by 4. B: This year is a leap year.f. A: Lines `1 and `2 are parallel. B: Lines `1 and `2 are perpendicular.For the remaining items, x and y refer to real numbers.g. A: x > 0. B: x2 > 0.h. A: x < 0. B: x3 < 0.i. A: xy D 0. B: x D 0 or y D 0.j. A: xy D 0. B: x D 0 and y D 0.k. A: x C y D 0. B: x D 0 and y D 0.