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2/3/2021-Related Conditional Statements.
By Melanie S Boyd
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Last updated over 4 years ago
23 questions
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Question 1
1.
Write the conditional statement in if-then form.
All new cars have airbags.
Question 2
2.
Write the conditional statement in if-then form.
The author will make money if his book sells.
Question 3
3.
Consider the following conditional statement:
The game will be cancelled if it rains.
What is the hypothesis?
Question 4
4.
Consider the following conditional statement:
The game will be cancelled if it rains.
What is the conclusion?
Question 5
5.
Consider the following conditional statement:
If you oversleep, then you will be late for school.
What is the hypothesis?
Question 6
6.
Consider the following conditional statement:
If you oversleep, then you will be late for school.
What is the conclusion?
Question 7
7.
If it is raining outside, then I will use an umbrella. (think of a counterexample...if you can find one, then the statement is false)
True
False
Question 8
8.
All four legged animals have fur. (think of a counterexample...if you can find one, then the statement is false)
True
False
Question 9
9.
Next month is May if this month is April.
True
False
Question 10
10.
What is the symbolic representation of a contrapositive statement?
p --> q
q --> p
~p --> ~q
~q --> ~p
Question 11
11.
What is the symbolic representation of a converse statement?
p --> q
q --> p
~p --> ~q
~q --> ~p
Question 12
12.
What is the symbolic representation of a inverse statement?
p --> q
q --> p
~p --> ~q
~q --> ~p
Question 13
13.
Use the given conditional statement to write the related conditional.
Conditional statement: If it is Memorial Day, then it is a holiday.
Give the converse statement.
Question 14
14.
Use the given conditional statement to write the related conditional.
Conditional statement: If it is Memorial Day, then it is a holiday.
Give the inverse statement.
Question 15
15.
Use the given conditional statement to write the related conditional.
Conditional statement: If it is Memorial Day, then it is a holiday.
Give the contrapositive statement.
Question 16
16.
Write the original conditional statement into the if/then form:
Conditional statement: Yesterday was Thursday if today is Friday.
Question 17
17.
Use the given conditional statement to write the related conditional.
Conditional statement: Yesterday was Thursday if today is Friday.
Give the converse statement.
Question 18
18.
Use the given conditional statement to write the related conditional.
Conditional statement: Yesterday was Thursday if today is Friday.
Give the inverse statement.
Question 19
19.
Use the given conditional statement to write the related conditional.
Conditional statement: Yesterday was Thursday if today is Friday.
Give the contrapositive statement.
Question 20
20.
Write the converse of the following true statement:
If you live in the capital of Virginia, then you live in Richmond, Virginia.
Question 21
21.
Refer to the previous question. If a counterexample of the converse exists, write it on the next line. If no counterexample exists, write NONE.
Question 22
22.
Write the converse of the following true statement:
If you are a math teacher, then you love to solve problems.
Question 23
23.
Refer to the previous question. If a counterexample of the converse exists, write it on the next line. If no counterexample exists, write NONE.