For the simple statements p: | There is a fire in the fireplace. q: || The house is cold. Match each compound statement to its symbolic form. v There is a fire in the fireplace if and only if the house is not cold. - There is a fire in the fireplace or the house is not cold. There is no fire in the fireplace if and only if the house is cold.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 16E
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For the simple statements
p: There is a fire in the fireplace.
q: || The house is cold.
Match each compound statement to its
symbolic form.
- There is a fire in the
fireplace if and only if the house
is not cold.
v There is a fire in the
fireplace or the house is not cold.
There is no fire in the
fireplace if and only if the house
is cold.
There is no fire in the
fireplace or the house is cold.
If there is a fire in the
fireplace then the house is not
cold.
There is no fire in the
fireplace and the house is cold.
- There is a fire in the
fireplace and the house is not
cold.
If the house is cold then
there is no fire in the fireplace.
Transcribed Image Text:For the simple statements p: There is a fire in the fireplace. q: || The house is cold. Match each compound statement to its symbolic form. - There is a fire in the fireplace if and only if the house is not cold. v There is a fire in the fireplace or the house is not cold. There is no fire in the fireplace if and only if the house is cold. There is no fire in the fireplace or the house is cold. If there is a fire in the fireplace then the house is not cold. There is no fire in the fireplace and the house is cold. - There is a fire in the fireplace and the house is not cold. If the house is cold then there is no fire in the fireplace.
а. р^
b. p →
С. р >
d.
~ p q
e. p V
f.
~p V q
g.
h. q → ~ p
Transcribed Image Text:а. р^ b. p → С. р > d. ~ p q e. p V f. ~p V q g. h. q → ~ p
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