Question

Which of the following compound statement is/are incorrect?

• A. Temperature did not increase and sea level rose
• B. Temperature increased and sea level didn't rise
• C. Temperature didn't increase and sea level didn't rise
• D. None of the above

Answer 1

Answer: (A), (B), (C)

The correct options are
A

Temperature did not increase and sea level rose

B

Temperature increased and sea level didn't rise

C

Temperature didn't increase and sea level didn't rise

let's represent the following compound statement as s(p, q) where p, q are the simple statements.

$s(p,q)=p\wedge q$

Here we have the connective 'AND' represented by the symbol $\wedge$

Since p, q are connected by 'AND' connective, 's' will be true ONLY when both p and q are true.

The true table for 'AND' connective is as below

$\therefore p\wedge q$ is False when at least one of the simple statement p or q is false.

$\therefore$ Correct choice: A, B, C