Q8B. Use a truth table (as shown below) to determine whether the following pairs of expressions are logically equivalent. If they are not logically equivalent, indicate which rows show that they are not. A. ¬(p ∨ ¬q) B. ¬p ∧ ¬q p q ... (A) (B) Row 1 T T Row 2 T F Row 3 F T Row 4 F F Question 8 options: Not logically equivalent, as shown by rows 1 and 2. Not logically equivalent, as shown by rows 1 and 3. Not logically equivalent, as shown by rows 2 and 4. Not logically equivalent, as shown by rows 3 and 4. Logically equivalent.
Q8B. Use a truth table (as shown below) to determine whether the following pairs of expressions are logically equivalent. If they are not logically equivalent, indicate which rows show that they are not. A. ¬(p ∨ ¬q) B. ¬p ∧ ¬q p q ... (A) (B) Row 1 T T Row 2 T F Row 3 F T Row 4 F F Question 8 options: Not logically equivalent, as shown by rows 1 and 2. Not logically equivalent, as shown by rows 1 and 3. Not logically equivalent, as shown by rows 2 and 4. Not logically equivalent, as shown by rows 3 and 4. Logically equivalent.
Chapter3: Performing Calculations With Formulas And Functions
Section: Chapter Questions
Problem 3.9CP
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Q8B. Use a truth table (as shown below) to determine whether the following pairs of expressions are logically equivalent. If they are not logically equivalent, indicate which rows show that they are not.
A. ¬(p ∨ ¬q)
B. ¬p ∧ ¬q
p | q | ... | (A) | (B) | |
Row 1 | T | T | |||
Row 2 | T | F | |||
Row 3 | F | T | |||
Row 4 | F | F |
Question 8 options:
|
Not logically equivalent, as shown by rows 1 and 2. |
|
Not logically equivalent, as shown by rows 1 and 3. |
|
Not logically equivalent, as shown by rows 2 and 4. |
|
Not logically equivalent, as shown by rows 3 and 4. |
|
Logically equivalent. |
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