Question

Complete a truth table given the compound statement below.
Given: (pv~r)^~g

Answer 1

To complete the truth table, assign truth values to each variable and evaluate the compound statement for each row.

To complete the truth table for the compound statement (P v ~R) ^ ~G, we need to consider all possible combinations of truth values for the variables P, R, and G.

There are 2^3 = 8 possible combinations, since we have 3 variables. We can start by assigning truth values to each variable in each row of the table:

1. In the first row, let P = true, R = true, and G = true.
2. In the second row, let P = true, R = true, and G = false.
3. Continue assigning truth values to the remaining rows.

Once we have assigned truth values to each variable in each row, we can evaluate the compound statement (P v ~R) ^ ~G for each row. The full table is attached below.