Lesson 38 : Logical Operators

Slide 1

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Logical Operators

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Logical Operators

1 / 10

consider the following propositions:
j: A soft answer turns away wrath.
k: A harsh word stirs up anger.
l: A wise man listens before speaking.
Which is the verbal statement for 𝑗 → 𝑘?

a. A soft answer turns away wrath or a harsh word stirs up anger.

b. A soft answer turns away wrath and a harsh word does not stir up anger.

c. If a soft answer turns away wrath, then a harsh word stirs up anger.

d. A soft answer turns away wrath and a harsh word stirs up anger.

2 / 10

consider the following propositions:
j: A soft answer turns away wrath.
k: A harsh word stirs up anger.
l: A wise man listens before speaking.
Which is the verbal statement for ~𝑗 ∧ ~𝑘?

a. A soft answer does not turn away wrath or a harsh word does not stir up anger.

b. A soft answer does not turn away wrath and a harsh word does not stir up anger.

c. A soft answer turns away wrath and a harsh word stirs up anger.

d. If a soft answer does not turn away wrath, then a harsh word does not stir up anger.

3 / 10

consider the following propositions:
j: A soft answer turns away wrath.
k: A harsh word stirs up anger.
l: A wise man listens before speaking.
Which is the symbol for “If a soft answer turns away wrath and a harsh word stirs up anger, then a wise man listens before speaking”?

a. (𝑗 ∧ 𝑘) → 𝑙

b. (𝑗 ∧ 𝑘) ↔ 𝑙

c. (𝑗 ∨ 𝑘) → 𝑙

d. (𝑗 ∨ 𝑘) ↔ 𝑙

4 / 10

consider the following propositions:
j: A soft answer turns away wrath.
k: A harsh word stirs up anger.
l: A wise man listens before speaking.
Which is the symbol for the proposition “A wise man does not listen before
speaking?

a. ∧ 𝑙

b. ~𝑙 → 𝑙

c. ~𝑙

d. ∨ 𝑙

5 / 10

a. ~𝑗 ∨ 𝑘

b. 𝑗 ∧ 𝑘

c. 𝑗 → 𝑘

d. 𝑗 ↔ ~𝑘

6 / 10

Which denotes disjunction?

a. 𝑝 ∨ 𝑞

b. 𝑝 ∧ 𝑞

c. ~𝑝

d. 𝑝 ↔ 𝑞

7 / 10

Which denotes biconditional?

a. 𝑝 ∨ 𝑞

b. 𝑝 ∧ 𝑞

c. ~𝑝

d. 𝑝 ↔ 𝑞

8 / 10

Which denotes negation?

a. 𝑝 ∨ 𝑞

b. 𝑝 ∧ 𝑞

c. ~𝑝

d. 𝑝 ↔ 𝑞

9 / 10

Which logical operator uses the connector “and”?

a. negation

b. conjunction

c. disjunction

d. conditional

10 / 10

It is a logical operator which uses the symbol “v”.

a. negation

b. conjunction

c. disjunction

d. conditional

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