The compound statement A- (A-B) is a conditional statement, which is only false when the first part (antecedent) is true and the second part (consequent) is false.

Let's break it down:

1. A-B is the consequent of the main statement. For this to be false, A must be true and B must be false.

2. Now, considering the main statement A- (A-B), for this to be false, A must be true (which we have already established) and (A-B) must be false (which we have also established).

So, the truth values of A and B that make the compound statement false are A = True and B = False.

Therefore, the answer is a. T, F.

Question

The compound statement A-> (A->B) is a conditional statement, which is only false when the first part (antecedent) is true and the second part (consequent) is false.

Let's break it down:

1. A->B is the consequent of the main statement. For this to be false, A must be true and B must be false.

2. Now, considering the main statement A-> (A->B), for this to be false, A must be true (which we have already established) and (A->B) must be false (which we have also established).

So, the truth values of A and B that make the compound statement false are A = True and B = False.

Therefore, the answer is a. T, F.

Knowee AI · Accepted Answer

The compound statement A-> (A->B) is a conditional statement, which is only false when the first part (antecedent) is true and the second part (consequent) is false.

Let's break it down:

1. A->B is the consequent of the main statement. For this to be false, A must be true and B must be false.

2. Now, considering the main statement A-> (A->B), for this to be false, A must be true (which we have already established) and (A->B) must be false (which we have also established).

So, the truth values of A and B that make the compound statement false are A = True and B = False.

Therefore, the answer is a. T, F.

The compound statement A-> (A->B) is false, then the truth values of A, B are respectively _________a.T, Fb.F, Fc.F, Td.T, T

Question

Solution

Similar Questions

Upgrade your grade with Knowee