Question

Use an ordinary truth table to answer the following problems. Construct the truth table as per the instructions in the textbook.

Statement 1B
(R • B) ≡ (B ⊃ ∼ R)
The truth table for Statement 1B has how many lines?
Group of answer choices
A) Six.
B) Four.
C) Two.
D) Eight.
E) Nine.

Answer 1

The truth table for Statement 1B has four lines.

Step-by-step explanation:

The truth table for Statement 1B has four lines. To construct the truth table, we list all possible combinations of truth values for the variables B and R and evaluate the logical expression 1B(R • B) ≡ (B ⊃ ∼ R) for each combination. Since we have 2 variables, B and R, and each variable can take 2 possible truth values (true or false), the total number of lines in the truth table is 2 × 2 = 4.