The expression in the image is: $(p \Rightarrow q) \lor r$.

Let's break this down to construct the truth table:

1. $p \Rightarrow q$ is a conditional statement that is false only when $p$ is true and $q$ is false, and true otherwise.
2. $\lor$ represents the logical "or" operator, which is true if at least one of the operands is true.

We need to evaluate $(p \Rightarrow q) \lor r$ for all possible combinations of truth values for $p$, $q$, and $r$.

• Column 4 shows the evaluation of $p \Rightarrow q$ for each combination of $p$ and $q$.
• Column 5 shows the evaluation of $(p \Rightarrow q) \lor r$, which takes the result of $p \Rightarrow q$ and combines it with $r$ using logical "or."

Let me know if you'd like further explanation or have any questions!

Related Questions:

1. How do you determine the truth value of a conditional statement like $p \Rightarrow q$?
2. What are the truth tables for other logical operations, such as "and" ($\land$) or "not" ($\neg$)?
3. How would the truth table change if the expression used $\land$ instead of $\lor$?
4. Can you explain the logical equivalence between $\neg p \lor q$ and $p \Rightarrow q$?
5. How do logical operations apply in circuit design or programming conditions?

Tip:

In truth tables, conditional statements ($p \Rightarrow q$) are true whenever $p$ is false or when $q$ is true.