Question

O E contains an error on line 5). QUESTION 6 If b is false, c is false, d is true, and m is true, then the truth value of the statement ~[(d ~b) 1 ~ c] - m is A. true B. cannot be determined OC. consequent D. false E. antecedent QUESTION 7 The Testament an Town) is aln)

Answer 1

Let us denote the truth value "True" by 1 and "False" by 0.
Given b = 0, c =0, d = 1, m = 1.

Then, ~ b = 1, ~ c = 1, ~m = 0.

Since d and ~ b are both 1, hence (d $\leftrightarrow$ ~ b) = 1.
Again, $\wedge$ denotes conjunction. Thus, (d $\leftrightarrow$ ~ b) $\wedge$ ~ c = 1

Thus, ~ [(d $\leftrightarrow$ ~ b) $\wedge$ ~ c] = 0.

Since $\rightarrow$ denotes implication, hence ~ [(d $\leftrightarrow$ ~ b) $\wedge$ ~ c] $\rightarrow$ ~ m = 1 ( as both have truth value 0 ).

Hence, ~ [(d $\leftrightarrow$ ~ b) $\wedge$ ~ c] $\rightarrow$ ~ m is TRUE.

Thus, option A is correct.