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( 6 pts ) Determine which of the following statements are True and explain why or why not. See the sample solution in part (
pts Determine which of the following statements are True and explain why or why not. See the sample solution in part a a or unicorns exist. Solution: True. Let be the proposition Let be the proposition "unicorns exist" The statement is thus translated into We know that is True and is False, therefore the statement is True. b is an odd number and is a negative number. c If then has no real solution. d This solution is correct if and only if this solution is not wrong. pts Give a logical expression with variables and such that a it is True if a and are False and is True; and is False for any other combination of truth values. b it's truth value does not depend on the value of pts What is the negation of each of these proposition? Start by translating each English statement into logic. You must explicitly state what are the atomic propositions. Then, negate the obtained logical statement, and possibly modify or simplify. After that translate the negated logical statement back into English. Make sure it sounds natural. a There's no way I am going to land an interview there. b Am and Om came to the meeting. c Umber is a sea cucumber who does not like sea water. d You must work on a weekend if you need to meet a deadline or catch up on tasks. e If you eat healthy and exercise regularly you will boost your immune system.
pts Determine which of the following statements are True and explain why or why not. See the sample
solution in part a
a or unicorns exist.
Solution: True.
Let be the proposition
Let be the proposition "unicorns exist"
The statement is thus translated into
We know that is True and is False, therefore the statement is True.
b is an odd number and is a negative number.
c If then has no real solution.
d This solution is correct if and only if this solution is not wrong.
pts Give a logical expression with variables and such that
a it is True if a and are False and is True; and is False for any other combination of truth values.
b it's truth value does not depend on the value of
pts What is the negation of each of these proposition? Start by translating each English statement into
logic. You must explicitly state what are the atomic propositions. Then, negate the obtained logical statement,
and possibly modify or simplify. After that translate the negated logical statement back into English. Make sure
it sounds natural.
a There's no way I am going to land an interview there.
b Am and Om came to the meeting.
c Umber is a sea cucumber who does not like sea water.
d You must work on a weekend if you need to meet a deadline or catch up on tasks.
e If you eat healthy and exercise regularly you will boost your immune system.
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