Question

~(p → q) ↔Question 1 options:

Complete the following truth table.

p q r ~(p → q) ↔ r
T T T (a)
T T F (b)
T F T (c)
T F F (d)
F T T (e)
F T F (f)
F F T (g)
F F F (h)

Answer 1

p q r ~(p → q) ↔ r

T T T F

T T F T

T F T F

T F F T

F T T T

F T F T

F F T F

F F F F

Explanation:

To complete the truth table for the given expression ~(p → q) ↔ r, you need to evaluate the expression for each combination of truth values for the variables p, q, and r.

Here is the completed table:

p q r ~(p → q) ↔ r

T T T F

T T F T

T F T F

T F F T

F T T T

F T F T

F F T F

F F F F

In the truth table, T represents true and F represents false. The column ~(p → q) ↔ r indicates the resulting truth value for the expression ~(p → q) ↔ r given the corresponding truth values for p, q, and r.