Finite Math
Finite Math Quiz
Logic Indicate whether or not the following sentences are statements.
1. Players on Red Team = Players on Blue Team • A Statement • Not
a
Statement
2. The
amount
of
money
available
in
the
account
is
greater
than
the
amount
bill
being
paid.
• A
Statement
• Not
a
Statement
3. Candy
Crush
Saga
is
the
most
addictive
game.
• A
Statement
• Not
a
Statement
Read
the
following
sentences.
You
will
then
be
asked
to
define
statement
variables
for
the
parts
of
the
sentence,
and
then
symbolically
define
the
relationship.
If
Luigi
is
small
and
hits
a
block
with
a
power-Â?up
then
a
Super
Mushroom
is
dispensed.
4. Define
statement
variables
p,
q
and
r
for
the
sentence
above.
5. Using
the
statement
variables
p,
q,
and
r
defined
in
#4,
write
the
logical
relationship
defined
above
using
the
symbolic
notation.
If
a
valid
code
is
entered,
the
user
may
select
1500
credits
or
1
month
of
premium
subscription.
6. Define
statement
variables
p,
q
and
r
for
the
sentence
above.
7. Using
the
statement
variables
p,
q,
and
r
defined
in
#6,
write
the
logical
relationship
defined
above
using
the
symbolic
notation.
Determine
the
truth-Â?value
of
the
following
compound
statements,
based
on
the
provided
truth-Â?values
(only
one
combination
of
truth
values
given).
8. The
truth-Â?value
of
p
is
False
and
the
truth-Â?value
of
q
is
False.
Determine
the
truth-Â?value
of
the
following
compound
statement:
~(p?q)?
9. The
truth-Â?value
of
p
is
True
and
the
truth-Â?value
of
q
is
True.
Determine
the
truth-Â?value
of
the
following
compound
statement:
~(p?q)?p?
Finite
Math
Quiz
-Â?
Logic
10. The
truth-Â?value
of
p
is
False,
the
truth-Â?value
of
q
is
True,
and
the
truth-Â?value
of
r
is
True.
Determine
the
truth-Â?value
of
the
following
compound
statement:
(~p?r)
?~q?
Answer
the
following
questions
about
the
compound
statement.
The
Truth
Tables
you
use
do
not
have
to
be
part
of
your
answer.
11. Construct
the
truth
table
for
the
compound
statement
~(p?~q).
How
many
False
values
are
in
the
final
answer?
12. Construct
the
truth
table
for
the
compound
statement
(p?q)?(~p?~q).
How
many
True
values
are
in
the
final
answer?
13. Construct
the
truth
table
for
the
compound
statement
(p?q)?~q.
How
many
True
values
are
in
the
final
answer?
14. Construct
the
truth
table
for
the
compound
statement
(p?~q)?r.
How
many
True
values
are
in
the
final
answer?
15. Construct
the
truth
table
for
the
compound
statement
(p?~q)?(r?~q).
How
many
True
values
are
in
the
final
answer?
In
each
question
below,
identify
the
equivalent
statements.
16. Which
of
the
following
compound
statements
are
equivalent:
a. p?q
b. ~p?q
c. ~q?~p
17. Which
of
the
following
compound
statements
are
equivalent:
a. p?~q
b. ~p?~q
c. ~(p?q)
18. Which
of
the
following
compound
statements
are
equivalent:
a. p?(q?r)
b. (p?q)?(p?r)
c. (p?q)?r
Finite
Math
Quiz
-Â?
Logic
Identify
which
of
the
following
arguments
are
valid
19. Which
of
the
following
arguments
is
valid?
a.
p!r
q!s
(p"q)
#r
b.
p!r
q!s
(p"q)
#r
20. Which
of
the
following
arguments
is
valid?
a.
p!q
~ q
"~ p
b.
p!q
~ p
"~ q