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Q3 Predicate, Quantifiers and Rules of Inference

Authored by IECEP UDM

Professional Development

University

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Q3 Predicate, Quantifiers and Rules of Inference
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17 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

There exist only two types of quantifiers, Universal Quantification and Existential Quantification.

True

False

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Let P (x) denote the statement “x >7.” Which of these have truth value true?

P (0)

P (4)

P (6)

P (9)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let Q(x) be the statement “x < 5.” What is the truth value of the quantification ∀xQ(x), having domains as real numbers.

True

False

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the truth value of ∀n(n + 1 > n) if the domain consists of all real numbers

True

False

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let P(x) denote the statement “x = x + 7.” What is the truth value of the quantification ∃xP(x), where the domain consists of all real numbers?

True

False

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let R (x) denote the statement “x > 2.” What is the truth value of the quantification ∃xR(x), having domain as real numbers?

True

False

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The statement,” Every comedian is funny” where C(x) is “x is a comedian” and F (x) is “x is funny” and the domain consists of all people.

∃x(C(x) ∧ F (x))

∀x(C(x) ∧ F (x))

∃x(C(x) → F (x)

∀x(C(x) → F (x))

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