GO Classes 2023 | Weekly Quiz 5 | Question: 3

Answer 1

• A. first proposition $: \text{P} \Rightarrow \text{Q}$ second proposition $: \neg \text{P} \vee \text{Q}$

$\text{Answer}$: yes 

$\text{Example reasoning}$:

All rows in the truth table evaluate to the same truth value.

$$\begin{array} {|c|c|c|c|} \hline \text{P} & \text{Q} & \text{P} \Rightarrow \text{Q} & \neg \text{P} \vee \text{Q} \\\hline \text{T} & \text{T} & \text{T} & \text{T} \\\hline \text{T} & \text{F} & \text{F} & \text{F} \\\hline \text{F} & \text{T} & \text{T} & \text{T} \\\hline \text{F} & \text{F} & \text{T} & \text{T} \\\hline \end{array}$$

• A. first proposition $: \neg \text{P}$ second proposition $: \text{P} \Rightarrow \text{False}$

$\text{Answer}:$ yes

100. first proposition $: \neg \text{P}$ second proposition $: \text{False} \Rightarrow \text{P}$

$\text{Answer}:$ no

500. first proposition $: \neg \text{P}$ second proposition $: \neg \text{P} \vee \text{Q}$

$\text{Answer}:$ no

Detailed Video Solution: https://youtu.be/nclBhBmtz2g?t=548