Simple and Compound Propositions

It is a declarative sentence which is true or false but not both.

• argument

• fdallacy

• proposition

• tautology

It is a proposition which is composed of simple statements that can be decided whether true or false.

• argument

• fallacy

• logical equivalence

• simple proposition

It is a proposition which is composed of sub-statements and various logical connectives.

• compound proposition

• proposition

• simple proposition

• truth value

Which of the following is a compound proposition?

• Jordan is tall.

• It is raining.

• Who are handsome?

• It is raining, and I am wet.

Tags

CCSS.HSS.CP.A.1

Roses are red and violets are blue.

The given proposition is a __________.

• simple proposition

• compound proposition

• conjunction

• truth value

Which of the following illustrates simple proposition?

• It is raining, and the sun is shining.

• It is raining, but the sun is shining.

• It is raining, then the sun is shining.

• It is raining.

Tags

CCSS.HSS.CP.A.1

Which of the following can be the symbol for the proposition “Roses are red and violets are blue?”

• $p\rightarrow q$

• $p\leftrightarrow q$

• $p\wedge q$

• $p\vee q$

Tags

CCSS.HSS.CP.A.1

Marc studied French at the university or lived in France.

Which of the following can be the symbol of the proposition?

• $p\rightarrow q$

• $p\leftrightarrow q$

• $p\wedge q$

• $p\vee q$

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

 $p$ : Mario is studying Statistics.
 $q$  : Mario is studying Algebra.


Which of the following will be the correct propositional statement of  $p∨q$  ?

• Mario is studying Statistics.

• Mario is studying Algebra.

• Mario is studying Statistics and Algebra.

• Mario is studying Statistics or Algebra.

Tags

CCSS.HSS.CP.A.1

 $p$ : It is cold.
 $q$ : It is raining.


Which of the following will be the correct propositional statement of  $p∧q$ ?

• It is not cold.

• It is cold and raining.

• It is raining and it is not cold.

• It is not true that it is not raining.

Tags

CCSS.HSS.CP.A.1