Question

INSTRUCTIONS: Use an ordinary truth table to answer the following problems. Construct the truth table as per the instructions in the textbook. Statement 2B

Given the following statement:
[N ≡ (S • J)] ⊃ [S ⊃ (N ⊃ J)]
The truth table for Statement 2B has how many lines?
Group of answer choices
A) Nine.
B) Twelve.
C) Four.
D) Eight.
E) Six.

Answer 1

The truth table for Statement 2B has four lines.

Step-by-step explanation:

The truth table for Statement 2B has four lines.

To construct the truth table, we need to consider all possible combinations of truth values for the variables N, S, and J. Since there are three variables, there will be 2^3 = 8 different combinations. However, some of these combinations may result in the same truth values for the statement. We can simplify the statement to [N ≡ (S • J)] ⊃ [S ⊃ (N ⊃ J)]

By evaluating the statement for each combination of truth values, we find that there are four different resulting truth values: true, true, true, and true. Therefore, the truth table for Statement 2B has four lines.