Mathematical Language and Symbols part 2

Question 1

it is a declarative sentence that is either true or false but not both.

Answer 1

Proposition

Question 2

It is combination of two or more propositional statements using logical connectives

Answer 2

Compound Statement

Question 3

1. ¬P
2. P∧Q
3. P∨Q
4. P→Q
5. P⇔Q

Answer 3

1. Not P (negation)
2. P and Q (Conjunction)
3. P or Q (Disjunction)
4. if P then Q (Conditional)
5. P if and only if Q (Biconditional)

Question 4

what are the 5 Propositions?

Answer 4

Negation (not)
Conjunction (and)
Disjunction (or)
Conditional (if… then)
Biconditional (if and only if)

Question 5

It is a statement formed by joining statement using the word “and”.

Answer 5

Conjuction

Question 6

it is statement formed by joining statement using the word “or”.

Answer 6

Disjunction

Question 7

it is a statement obtained by negating statement P

Answer 7

Negation

Question 8

It is a conditional statement and written as “if and then” where the 1st statement is called the premise while the 2nd statement is called the conclusion

Answer 8

Implication

Question 9

Converse

Answer 9

Q → P
(If Q then P)

Question 10

Inverse

Answer 10

¬P → ¬Q
(If not P then not Q)

Question 11

Contrapositive

Answer 11

¬Q → ¬P
(If not Q then not P)

Question 12

the statement “ P if and only if Q” is called the _______ or bi-implication of P and Q and written as 𝑷 ↔ Q

Answer 12

Biconditional