Chapter 2.2, Problem 23ES

a.

To determine

To find: The converse and inverse for the statement “if $p$ is a square then $p$ is rectangle”.

b.

To determine

To find: The converse and inverse for the statement “if today is New Year’s Eve then tomorrow is January”.

c.

To determine

To find: The converse and inverse for the statement “if the decimal expansion of $r$ is terminating then $r$ is rational”.

d.

To determine

To find: The converse and inverse for the statement “if $n$ is prime then $n$ is odd or $n$ is $2$ ”.

e.

To determine

To find: The converse and inverse for the statement “if $x$ is non-negative then $x$ is positive or $x$ is $0$ ”.

f.

To determine

To find: The converse and inverse for the statement “if Tom is Ann’s father then Jim and Sue are her uncle and aunt”.

g.

To determine

To find: The converse and inverse for the statement “if $n$ is divisible by $6$ then $n$ is divisible by $2$ and $n$ is divisible by $3$ ”.