3. Formal Logic

Symbolisation — Quiz

Test your understanding of symbolisation with 5 practice questions.

Practice Questions

Question 1

How would you symbolize the statement "A number is not prime" if $P(x)$ means "$x$ is a prime number"?

Question 2

Given that $A$ represents "The sun is shining" and $B$ represents "I will go outside", how would you symbolize "I will go outside if and only if the sun is shining"?

Question 3

Which of the following correctly symbolizes the statement "No students are lazy" if $S(x)$ means "$x$ is a student" and $L(x)$ means "$x$ is lazy"?

Question 4

If $P$ represents "The food is hot" and $Q$ represents "I will eat it", how would you symbolize "I will not eat it unless the food is hot"?

Question 5

Given $C(x)$ means "$x$ is a car" and $E(x)$ means "$x$ is electric", how would you symbolize "Not all cars are electric"?