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Revise smart, understand Better

5/49 MCQs for:

Logic

Which of the following is equivalent to 'there exists x such that P(x)' in logic?

∀x, P(x).

P(x).

∃x, P(x).

¬P(x).

What does the universal quantifier (∀) represent?

Some.

There exists.

Not exists.

For all.

What is the value of (∃x)(x² = -1) if the domain is all real numbers (x ∈ ℝ)?

False.

True.

Cannot be determined.

Depends on the value of x.

What is the value of (∃x)(x² = 25) if the domain is all integers (x ∈ ℤ)?

True.

Cannot be determined.

False.

Depends on the value of x.

What is the value of ¬(¬p) if p is true?

Depends on the value of p.

True.

Cannot be determined.

False.