Question
Mathematics Question on mathematical reasoning
Equivalent statement to (p→q) ∨ (r→q) will be
A
(p ∧ r) → q
B
(p ∨ r) → q
C
(q → r) ∨ (p ∨ r)
D
(r → p) ∧ (q → r)
Answer
(p ∧ r) → q
Explanation
Solution
| p | q | r | p → q | r → q | (p → q) ∨ (r → q) | (p ∧ r) | (p ∧ r) → q |
|---|---|---|---|---|---|---|---|
| T | T | T | T | T | T | T | T |
| T | T | F | T | T | T | F | T |
| T | F | T | F | F | F | T | F |
| T | F | F | F | T | T | F | T |
| F | T | T | T | T | T | F | T |
| F | T | F | T | T | T | F | T |
| F | F | T | T | F | T | F | T |
| F | F | F | T | T | T | F | T |