Construct a truth table for each of these compound propositions.

SolutionStep 1In this problem we need to provide the truth table for each of the given compound propositions.First let us see the definition of the conditional statements used.1. denotes the opposite of the truth value of p.2. The disjunction of and q is denoted by , is the proposition βor β. The disjunction of is false when both and q are false and is true otherwise.3. The conjunction of and q is denoted by , is the proposition β and β. The conjunction of is true when both and q are true and is false otherwise.Now we can construct truth tables for each of the given compound propositions.Step 2 1. pqrTTTTTTTFTTTFTTTTFFTTFTTTTFTFTTFFTFTFFFFFStep 3 1. pqrTTTTTTTFTFTFTTTTFFTFFTTTTFTFTFFFTFFFFFFFStep 4 1. pqrTTTTTTTFTTTFTFTTFFFFFTTFTFTFFFFFTFTFFFFF