Section 1.1 to 1.10: Propositions
| 100% Verified with Correct
Boost your score on Western Governors University's C959 course with 228
verified practice questions, clear answers, and step-by-step solutions focused
strictly on Sections 1.1 to 1.10 covering Propositions and Logical Operations.
Save study hours and master truth tables quickly.
What is Included
• 228 Targeted Questions: Real practice items for Sections 1.1 through
1.10.
• Verified Answers: Accurate solutions with clear explanations for every
problem.
• Core Logic Topics: Propositions, truth values, truth tables, compound
propositions, conjunction, disjunction, and logical equivalencies.
Why Choose This Guide
• WGU Aligned: Built specifically around the competencies tested in
Discrete Math I (C959).
• Save Time: Cut straight to what matters for passing your objective
assessment.
• Clear Formats: Easy-to-read layout designed for fast review and long-
term memory.
Quiz_________________?
According to the commutative law, does the order in which the hypotheses of an argument
are listed affect whether the argument is valid? -
1
, Answer✅
No, reordering the hypotheses does not change whether an argument is valid, so two
arguments with the same hypotheses and conclusion are considered the same argument
even if the hypotheses appear in a different order. (Section 1.10)
Quiz_________________?
Besides mathematics, can predicates describe non-mathematical statements? -
Answer✅
Yes, predicates can describe real-world statements, such as a statement about a variable city
having a population over a certain number, where the domain is a defined set of cities.
(Section 1.6)
Quiz_________________?
Besides the word "and," what other English words or phrases can express a conjunction? -
Answer✅
Words such as "but," "despite the fact that," and "although" can express a conjunction.
(Section 1.1)
Quiz_________________?
Besides truth tables, what is an alternative method for showing that two compound
propositions are logically equivalent? -
Answer✅
Using a series of substitutions based on the laws of propositional logic to transform one
proposition into the other. (Section 1.5)
Quiz_________________?
Can a predicate depend on more than one variable? -
2
, Answer✅
Yes, a predicate can depend on two or more variables, such as P(x, y). (Section 1.6)
Quiz_________________?
Can a proposition have a truth value that is currently unknown or a matter of personal
opinion? -
Answer✅
Yes, a statement is still a proposition as long as it is either true or false, even if that value is
unknown or debated as an opinion. (Section 1.1)
Quiz_________________?
Can an invalid argument form lead to a false conclusion even when its hypotheses are true? -
Answer✅
Yes, an invalid argument form can be used with a different set of propositions in which the
hypotheses are true but the conclusion turns out to be false, demonstrating why the form
itself is invalid. (Section 1.10)
Quiz_________________?
Can nested quantified expressions involve more than two variables and more than two
quantifiers? -
Answer✅
Yes, an expression can have three or more variables, each bound by its own separate
quantifier, and the quantifiers are still read and applied from left to right. (Section 1.9)
Quiz_________________?
Consider the conditional statement below:
3
, If he studied for the test, then he passed the test.
Match each statement (Contrapositive/Converse/Inverse) below to the term describing how
it is related to the statement above.
If he did not pass the test, then he did not study for the test. -
Answer✅
Contrapositive
(The contrapositive of p -> q is ¬q -> ¬p.)
(Section 1.3)
Quiz_________________?
Consider the conditional statement below:
If he studied for the test, then he passed the test.
Match each statement (Contrapositive/Converse/Inverse) below to the term describing how
it is related to the statement above.
If he did not study for the test, then he did not pass the test. -
Answer✅
Inverse
(The inverse of p -> q is ¬p -> ¬q.)
(Section 1.3)
Quiz_________________?
Consider the conditional statement below:
If he studied for the test, then he passed the test.
Match each statement (Contrapositive/Converse/Inverse) below to the term describing how
it is related to the statement above.
4
| 100% Verified with Correct
Boost your score on Western Governors University's C959 course with 228
verified practice questions, clear answers, and step-by-step solutions focused
strictly on Sections 1.1 to 1.10 covering Propositions and Logical Operations.
Save study hours and master truth tables quickly.
What is Included
• 228 Targeted Questions: Real practice items for Sections 1.1 through
1.10.
• Verified Answers: Accurate solutions with clear explanations for every
problem.
• Core Logic Topics: Propositions, truth values, truth tables, compound
propositions, conjunction, disjunction, and logical equivalencies.
Why Choose This Guide
• WGU Aligned: Built specifically around the competencies tested in
Discrete Math I (C959).
• Save Time: Cut straight to what matters for passing your objective
assessment.
• Clear Formats: Easy-to-read layout designed for fast review and long-
term memory.
Quiz_________________?
According to the commutative law, does the order in which the hypotheses of an argument
are listed affect whether the argument is valid? -
1
, Answer✅
No, reordering the hypotheses does not change whether an argument is valid, so two
arguments with the same hypotheses and conclusion are considered the same argument
even if the hypotheses appear in a different order. (Section 1.10)
Quiz_________________?
Besides mathematics, can predicates describe non-mathematical statements? -
Answer✅
Yes, predicates can describe real-world statements, such as a statement about a variable city
having a population over a certain number, where the domain is a defined set of cities.
(Section 1.6)
Quiz_________________?
Besides the word "and," what other English words or phrases can express a conjunction? -
Answer✅
Words such as "but," "despite the fact that," and "although" can express a conjunction.
(Section 1.1)
Quiz_________________?
Besides truth tables, what is an alternative method for showing that two compound
propositions are logically equivalent? -
Answer✅
Using a series of substitutions based on the laws of propositional logic to transform one
proposition into the other. (Section 1.5)
Quiz_________________?
Can a predicate depend on more than one variable? -
2
, Answer✅
Yes, a predicate can depend on two or more variables, such as P(x, y). (Section 1.6)
Quiz_________________?
Can a proposition have a truth value that is currently unknown or a matter of personal
opinion? -
Answer✅
Yes, a statement is still a proposition as long as it is either true or false, even if that value is
unknown or debated as an opinion. (Section 1.1)
Quiz_________________?
Can an invalid argument form lead to a false conclusion even when its hypotheses are true? -
Answer✅
Yes, an invalid argument form can be used with a different set of propositions in which the
hypotheses are true but the conclusion turns out to be false, demonstrating why the form
itself is invalid. (Section 1.10)
Quiz_________________?
Can nested quantified expressions involve more than two variables and more than two
quantifiers? -
Answer✅
Yes, an expression can have three or more variables, each bound by its own separate
quantifier, and the quantifiers are still read and applied from left to right. (Section 1.9)
Quiz_________________?
Consider the conditional statement below:
3
, If he studied for the test, then he passed the test.
Match each statement (Contrapositive/Converse/Inverse) below to the term describing how
it is related to the statement above.
If he did not pass the test, then he did not study for the test. -
Answer✅
Contrapositive
(The contrapositive of p -> q is ¬q -> ¬p.)
(Section 1.3)
Quiz_________________?
Consider the conditional statement below:
If he studied for the test, then he passed the test.
Match each statement (Contrapositive/Converse/Inverse) below to the term describing how
it is related to the statement above.
If he did not study for the test, then he did not pass the test. -
Answer✅
Inverse
(The inverse of p -> q is ¬p -> ¬q.)
(Section 1.3)
Quiz_________________?
Consider the conditional statement below:
If he studied for the test, then he passed the test.
Match each statement (Contrapositive/Converse/Inverse) below to the term describing how
it is related to the statement above.
4
