Q.Find the component statements of the following compound statements.

A compound statement is formed by connecting two or more simple statements using connecting words such as "and", "or", "if-then", or "if and only if". The simple statements are its component statements.

1. "The sky is blue and the grass is green." p: The sky is blue. q: The grass is green. Connective: and.
2. "It is raining and it is cold." p: It is raining. q: It is cold. Connective: and.
3. "All rational numbers are real and all real numbers are complex." p: All rational numbers are real. q: All real numbers are complex. Connective: and.
4. "0 is a positive number or a negative number." p: 0 is a positive number. q: 0 is a negative number. Connective: or.
   ✓Final answer

   (i) p ∧ q with p: sky is blue, q: grass is green. (ii) p ∧ q with p: raining, q: cold. (iii) p ∧ q with p: rationals ⊆ reals, q: reals ⊆ complex. (iv) p ∨ q with p: 0 positive, q: 0 negative.

Locate the connecting word ("and"/"or"). Split the sentence at that word into two independent, self-contained declarative claims — each becomes a component statement.

• Splitting the sentence at the wrong point, leaving a component that is not itself a full, independently-checkable statement.
• Missing an implicit connective (e.g., a sentence that lists several conditions joined by commas is often an implicit "and").