This is a Logic Problem. So we need to use operators to solve this problem. There are several operators in logic. Operators can be monadic or dyadic. A monadic operator operates on a single simple statement. Other operators will all be dyadic operators because they operate on two simple statements.
So we have the following simple statements:
p: the book is interesting
q: the book has pictures
Thus, let's solve each notation.
First. p ∧ q
Conjunction operator. The conjunction operator creates a compound statement such that in order for the whole statement to be true, each simple statement must be true.
Symbol: & (also ∧)
Parts of conjunction: Two simple statements joined by the conjunction symbol.
Answer:
p ∧ q: The book is interesting and the book has pictures.
Second. p ↔ q
Bi-conditional operator: The bi-conditional operator creates a compound statement such that in order for the whole statement to be true each simple statement has to have the same truth value.
Symbol: ↔
Parts of bi-conditional: Two simple statements joined by the bi-conditional symbol.
Answer:
p ↔ q: The book is interesting if and only if the book has pictures.
Third. p ∨ q
Disjunction operator: The disjunction operator creates a compound statement that is true if either simple statement is true but false if both simple statements are false.
Symbol: ∨
Parts of disjunction: Two simple statements joined by the disjunction symbol
Answer:
p ∨ q: The book is interesting or the book has pictures.
Fourth. p → q
Conditional operator: The conditional operator creates a compound statement that sets up a condition for something to be true. If the condition is met, the statement is true.
Symbol: →
Parts of conditional: Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent.
Answer:
p → q: If the book is interesting then the book has pictures.
