BSCBO-301.pdf
9.6 MB
Medicine ααα£α΅ ααα΅ααα α αα ααΈα α¨αα α«αα΅ αα²α€αα½
First aid questions with
their answers.
First aid questions with
their answers.
G12 Maths extrene series book.pdf
111.9 MB
Medicine ααα£α΅ ααα΅ααα α αα ααΈα α¨αα α«αα΅ αα²α€αα½
First aid questions with
their answers.
First aid questions with
their answers.
[To show that (p => q) β‘ (Β¬p v q) is true, we can use a truth table to demonstrate that the two expressions have the same truth values under all possible truth value assignments for p and q.
First, let's construct a truth table for (p => q) and (Β¬p v q):
| p | q | Β¬p | Β¬p v q | p => q |
|---|---|----|-------|-------|
| T | T | F | T | T |
| T | F | F | F | F |
| F | T | T | T | T |
| F | F | T | F | T |
In the truth table:
- p => q is true except when p is true and q is false.
- Β¬p v q is true when either Β¬p (not p) or q is true.
Observing the last two columns of the truth table, we can see that the truth values for (p => q) and (Β¬p v q) are the same in all cases, therefore demonstrating that (p => q) β‘ (Β¬p v q) is true.](URL)
First, let's construct a truth table for (p => q) and (Β¬p v q):
| p | q | Β¬p | Β¬p v q | p => q |
|---|---|----|-------|-------|
| T | T | F | T | T |
| T | F | F | F | F |
| F | T | T | T | T |
| F | F | T | F | T |
In the truth table:
- p => q is true except when p is true and q is false.
- Β¬p v q is true when either Β¬p (not p) or q is true.
Observing the last two columns of the truth table, we can see that the truth values for (p => q) and (Β¬p v q) are the same in all cases, therefore demonstrating that (p => q) β‘ (Β¬p v q) is true.](URL)
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