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WorksheetsLogic
Total questions: 42
Worksheet time: 2hrs 14mins
What is this statement called: If it rains today, then we will not have practice.
What is this statement: If the reception is at the country club, then Maria will be getting married.
What is this? If Emily is late to class, then she will be marked tardy.
If we are at the park, then we will swing.
If Jason does not go out to dinner, then he will come to the volleyball game.
If you eat breakfast, then you will feel better at school.
Conclusion: You will feel better at school
Conclusion: if you eat breakfast
If it is Saturday, then the school is closed
p: All birds have feathers
q: Two angles are supplementary if they are a linear pair.
Find p Λ q and the truth value
All birds have feathers or two angles are supplementary if they are a linear pair. True
All birds have feathers and two angles are supplementary if they are a linear pair. True
All birds have feathers and two angles are supplementary if they are a linear pair. False
All birds have feathers or two angles are supplementary if they are a linear pair. False
p: 5 is a rational number
q: 15 is a prime number
Find p ν q
5 is rational number or 15 is a prime number. True
5 is rational number or 15 is a prime number. False
5 is rational number and 15 is a prime number. True
5 is rational number and 15 is a prime number. False
p: The sun is made of gas.
q: 3 is a prime number.
Find ~p Λ q
The sun is not made of gas and 3 is not a prime number. False
The sun is made of gas and 3 is not a prime number. True
The sun is not made of gas and 3 is a prime number. False
The sun is not made of gas or 3 is a prime number. False
p: Vertical angles are congruent.
q: Complementary angles form a right angle.
Find p V ~q
Vertical angles are not congruent and complementary angles form a right angle. False
Vertical angles are congruent and complementary angles do not form a right angle. False
Vertical angles are congruent or complementary angles form a right angle. True
Vertical angles are congruent or complementary angles do not form a right angle. True
All months that begin with the letter M have 31 days.
True
False; March
False; May
p: there are 3 feet in a yard.
q: the difference of two odd numbers is even.
The following statement is an example of what?
There are 3 feet in a yard and the difference of two odd numbers is odd.
~p V ~q
~p Λ ~q
p Λ ~q
p Λ q
p: Max is eating an apple.
q: Max is eating a piece of fruit.
Is ~p V ~q true or false?
False
True
p: Two angles that form a linear pair are adjacent.
q: All perfect squares are even.
Not all perfect squares are even or two angles that form a linear pair are adjacent.
p V q
q V p
~p V q
~q V p
The reciprocal of a number is always less than 1.
True
False
p: The sum of two prime numbers is always prime.
q: A triangle can never have two obtuse angles.
q Λ ~p
The sum of two prime numbers is not always prime and a triangle can never have two obtuse angles. True
The sum of two prime numbers is always prime or a triangle can never have two obtuse angles.
A triangle can never have two obtuse angles and the sum of two prime numbers is not always prime. True
A triangle can have two obtuse angles and the sum of two prime numbers is not always prime. False
What type of logic is this table showing:
AND
OR
NOR
XOR
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the exam
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
R is the midpoint of QS.
Conclusion: QR=RS
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
Which law of logic is this?
If I clean the bathroom, then I don't have to do the dishes.
I cleaned the bathroom.
Therefore, I don't have to do the dishes.
Law of Detachment
Law of Syllogism
Law of Contrapositive
None
Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will study from 6pm to 7pm tonite.
I study for several hours each day.
I will do well on the exam
If I do well on the exam, I studied for hours.
not possible
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
q→r
∴p→r
Which law is modeled?
p
∴q
Which law is modeled?
