Use quantifiers to express the statement “if somebody is female and is a parent, then this person is someone’s mother

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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 Contradiction 
Proposition

Show that is a Contingency. 
 Use quantifiers to express the statement “if somebody is
female and is a parent, then this person is someone’s mother 
 Let p and q be the propositions:
p: I will do every exercise in this book
 I will get an ‘A’ in this course
Write the following propositions using p and q and logical
connectives.
 For me to get an ‘A’ in this course it is necessary and
sufficient that I do every exercise in this book. 
 Construct the truth table for your proposition in d(i) above.
 Write down the output Boolean expression using p, q and r
for the circuit gates below:
if p = 1, q = 0 and r = 1 find the output signal for the
circuit below:

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