Logic connectives

Which of the following is a converse of the given statement?

Conditional statement: If an angle has a measure of 180 degrees, then it is a straight angle.

• If an angle is not 180 degrees, then it is not a straight angle.

• If it is a straight angle, then it's measure is 180 degrees.

• If an angle is not straight, then it is not 180 degrees.

• An angle has a measure of 180 degress if and only if it is a straight angle.

Which of the following isTRUE about statement or proposition?

• It is a declarative sentence. It is TRUE but can't be FALSE

• It is a declarative sentence. It can be both TRUE or FALSE.

• It is a declarative sentence. It is neither TRUE or FALSE.

• It is a declarative sentence. It is either TRUE or FALSE, but NOT BOTH.

Which of the following logic connectives is equivalent to

 $\sim\left(p\longrightarrow q\right)$  ?

•  $p\vee\sim q$  

•  $p\wedge\sim q$  

•  $\sim p\vee\sim q$  

•  $\sim p\wedge q$  

Tags

CCSS.HSA.SSE.B.3

What is the symbol for disjunction?

• $\rightarrow$

• $\vee$

• $\wedge$

• $\leftrightarrow$

Tags

CCSS.HSS.CP.A.1

What is the bi- conditional of this statement?

"Parallel lines do not intersect."

• Two lines are not parallel if and only if they do not intersect

• Two lines are parallel if and only if they intersect.

• Two lines do not intersect if and only if they are parallel.

• Two lines are parallel if and only if they do not intersect.

 $\sim p\wedge\sim q$  is equivalent to _____________________.

•  $\sim\left(p\vee q\right)$  

•  $\sim\left(p\wedge q\right)$  

•  $\sim\left(p\rightarrow q\right)$  

•  $\sim p\rightarrow\sim q$  

What is the contrapositive of the statement,

"A figure is a square if and only if it is a quadrilateral." ?

• If it is a quadrilateral, then a figure is a square.

• If a figure is a square, then it is a quadrilateral.

• If it is not a quadrilateral, then a figure is not a square.

• If a figure is not a square, then it is not a quadrilateral.

Which is NOT true about conjunction?

• The statement is formed by using the word "and".

• The statement is false if both p and q are TRUE, otherwise it is FALSE.

• The statement is true if both p and q are FALSE, otherwise it is FALSE.

• The statement is true if both p and q are TRUE, otherwise it is FALSE.

Tags

CCSS.HSS.CP.A.3

Which of the following connectives is true if p (hypothesis) is TRUE and q(conclusion) is FALSE?

•  $p\rightarrow q\ is\ TRUE$  

•  $p\rightarrow q\ is\ FALSE$  

•  $\sim q\rightarrow p\ is\ FALSE$  

•  $q\rightarrow p\ is\ FALSE$  

A false _______________________ occurs when the hypothesis is TRUE and the conclusion is FALSE.

Tags

CCSS.HSS.CP.A.5