Translate the following English statements into a logical expression with the same meaning. (a) There is a third grader who went on the field trip. (b) At least one of the students who went on the field trip is not a third grader. (c) Every second grader went on the field trip. (d) Every student in the class who went on the field trip is a second grader. (e) At least one third grader did not go on the field trip.

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4. In the following question, the domain is a set of students in a mixed-grade class with
3rd-graders and 2nd-graders. Define the following predicates:
T(x): x is a third grader.
S(x): x is a second grader.
F(x): x went on the field trip.
Transcribed Image Text:4. In the following question, the domain is a set of students in a mixed-grade class with 3rd-graders and 2nd-graders. Define the following predicates: T(x): x is a third grader. S(x): x is a second grader. F(x): x went on the field trip.
Translate the following English statements into a logical expression with the same
meaning.
(a) There is a third grader who went on the field trip.
(b) At least one of the students who went on the field trip is not a third grader.
(c) Every second grader went on the field trip.
(d) Every student in the class who went on the field trip is a second grader.
(e) At least one third grader did not go on the field trip.
Transcribed Image Text:Translate the following English statements into a logical expression with the same meaning. (a) There is a third grader who went on the field trip. (b) At least one of the students who went on the field trip is not a third grader. (c) Every second grader went on the field trip. (d) Every student in the class who went on the field trip is a second grader. (e) At least one third grader did not go on the field trip.
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