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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.4: Subtracting Real Numbers
Problem 48WE
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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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