Select the negation of the following statement.
If
, then
.
the sky does not look blue
it is night time
, and
.
The sky looks blue
it is not night time
, and
.
The sky does not look blue
it is not night time
If
, then
.
the sky looks blue
it is not night time
If
, then
.
it is not night time
the sky looks blue
Problem Set 7 Sections 3.3, 3.4-Dakota Rasimas

27.
Write the statement as an equivalent statement that does not use the if...then connective. Remember that
is
equivalent to
p
→
q
~
p
∨
q
If
, then
.
we go to the movies
we buy popcorn
Choose the equivalent statement below.
.

28.
Write the following statement as an equivalent statement that does not use the if-then connective. Remember that p
is equivalent to ~p
q.
If you scratch my back, I'll scratch yours.
Choose the correct answer below.
q
→
∨

7 of 14
3/13/18, 9:50 PM

26.
Write the negation of the statement.
If it is not
, then it is
.
blue
lettuce
Choose the correct negation below.

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Chapter 1 / Exercise 17

**Mathematical Practices, Mathematics for Teachers: Activities, Models, and Real-Life Examples**

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29.
Use truth tables to decide whether the pair of statements is equivalent.
;
p
→
q
~
q
∨
p
Are the statements equivalent?
A.
The statements are not equivalent. When p is true and q is false, the statements have
different truth values.
B.
The statements are not equivalent.
the same
truth value.
When both p and q are true, the statements have
C.
The statements are equivalent. The statements have the same truth value for all
values of p and q.
D.
The statements are equivalent. When both p and q are false, the statements have different truth
values.

30.
and
~
p
→
~
q
~
q
→
~
Choose the correct answer below.
.
The statements are not equivalent
.
The statements are equivalent
Use truth tables to decide whether the pair of statements is equivalent.
and
~
r
→
~
s
s
∨
Are the statements equivalent?
31.
Use a truth table to determine whether the two statements are equivalent.
and
~
p
→
~
q
~
q
→
~
Choose the correct answer below.
.
The statements are not equivalent
.
The statements are equivalent
Use truth tables to decide whether the pair of statements is equivalent.
and
~
r
→
~
s
s
∨
Are the statements equivalent?
p
r