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Understanding De Morgan's Laws

Understanding De Morgan's Laws

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Jennifer Brown

FREE Resource

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the negation of the compound statement 'p and q' according to De Morgan's Laws?

not p and q

p and not q

not p or not q

p or not q

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following statements is logically equivalent to 'not (p and q)'?

p and q

not p and q

not p or not q

p or q

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the negation of 'p or q' using De Morgan's Laws?

p and not q

not p and not q

p or not q

not p or q

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does De Morgan's Laws state about the negation of a disjunction?

It becomes a tautology

It remains unchanged

It is the disjunction of the negations

It is the conjunction of the negations

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which truth table result shows that 'not (p or q)' is equivalent to 'not p and not q'?

True, True, True, False

False, False, False, True

True, False, True, False

False, True, False, True

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