Which of the following can you determine when you use deduction and start from a given set of rules and conditions?

Mathematics

2 answers:

andrew-mc [135]3 years ago

5 0

Deduction is a term used as inference to a known and validated principle. This is when you analyze points through logic from a given set of rules and conditions. You relate how the situation may conform to the rules. Thus. there is no wrong deduction. If you analyze it to be true, then that must be definitely correct. Therefore, the answer is letter B. What must be true.

sergeinik [125]3 years ago

4 0

Answer:

for you apex users it is "what must be true" :)

Step-by-step explanation:

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Let p: the book is interesting and q: the book has pictures. The notation p ∧ q represents the statement “The book is interestin

MatroZZZ [7]

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.

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