(a.)
The given statement in symbolic form.
It has been determined that the given statement can be written in symbolic form as
Given:
The statement to be written in symbolic form is “This course is easy and lazy students do not study.”
Concept used:
A compound statement can be written in symbolic form, by denoting each simple statement by a variable and using logical symbols.
Calculation:
The given statement is “This course is easy and lazy students do not study.”
It is given that
Then, the given statement can be written in symbolic form as
Conclusion:
It has been determined that the given statement can be written in symbolic form as
(b.)
The given statement in symbolic form.
It has been determined that the given statement can be written in symbolic form as
Given:
The statement to be written in symbolic form is “Lazy students do not study or this course is not easy.”
Concept used:
A compound statement can be written in symbolic form, by denoting each simple statement by a variable and using logical symbols.
Calculation:
The given statement is “Lazy students do not study or this course is not easy.”
It is given that
Then, the given statement can be written in symbolic form as
Conclusion:
It has been determined that the given statement can be written in symbolic form as
(c.)
The given statement in symbolic form.
It has been determined that the given statement can be written in symbolic form as
Given:
The statement to be written in symbolic form is “It is false that both this course is easy and lazy students do not study.”
Concept used:
A compound statement can be written in symbolic form, by denoting each simple statement by a variable and using logical symbols.
Calculation:
The given statement is “It is false that both this course is easy and lazy students do not study.”
It is given that
Then, the given statement can be written in symbolic form as
Conclusion:
It has been determined that the given statement can be written in symbolic form as
(d.)
The given statement in symbolic form.
It has been determined that the given statement can be written in symbolic form as
Given:
The statement to be written in symbolic form is “This course is not easy.”
Concept used:
A compound statement can be written in symbolic form, by denoting each simple statement by a variable and using logical symbols.
Calculation:
The given statement is “This course is not easy.”
It is given that
Then, the given statement can be written in symbolic form as
Conclusion:
It has been determined that the given statement can be written in symbolic form as
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