Question

Which of the following illustrates the truth value of the given conditional statement?

Answer 1

Answer:

• Option A. F  T  →  F

Explanation:

A conditional is represented by:

• p → q

Where p is called the antecedent, and q is the consequent.

Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.

On the other hand, if the antecedent is true, the consequent can be either true or false.

1. State the antecedent of the conditional and is truth value

• Antecedent: 6 > 10

• Truth value: False, because 6 is not greater than 10.

2. State the consequent of the conditional and its truh value

• 8 • 3 = 24

• Truth value: True, because 8 times 3 is 24.

3. Truth value of the conditional

Hence, the truth value of the conditional is:

• False      Truth        →     Truth, or

• F   T   →   T

Which is the option A.

Answer 2

Answer:

Option A. F  T  →  F

Explanation:

A conditional is represented by:

p → q

Where p is called the antecedent, and q is the consequent.

Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.

On the other hand, if the antecedent is true, the consequent can be either true or false.

1. State the antecedent of the conditional and is truth value

Antecedent: 6 > 10

Truth value: False, because 6 is not greater than 10.

2. State the consequent of the conditional and its truh value

8 • 3 = 24

Truth value: True, because 8 times 3 is 24.

3. Truth value of the conditional

Hence, the truth value of the conditional is:

False      Truth        →     Truth, or

F   T   →   T

Which is the option A.

Step-by-step explanation: