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liubo4ka [24]
3 years ago
10

QUESTION 3

Mathematics
2 answers:
ira [324]3 years ago
7 0

Answer:

1. -> C

2. -> D

3. -> A

4. -> B

Step-by-step explanation:

Sergio039 [100]3 years ago
4 0

Answer:

Your answer is in of the following questions below in step by step explanation.

Step-by-step explanation:

I.   Logic

Are there "rules" or "laws" that govern proper reasoning?  Can we prove, mathematically, that a particular argument is valid?  To what extent can reasoning be automated?

1.   Statement (proposition):  a sentence that is either true or false, but not both.

Example.  Determine if each of the following sentences is a statement.

a.   5 + 3 = 7    

 

21 / 7 = 3    

 

c.   MIDN Miller is President of the United States    

 

d.  Ah,…the joy of SM242!    

 

e.  He is a midshipman  

 

MIDN Avworo has written C++ programs.    

 

Baltimore is the capital of Maryland.    

 

h.  3 * z < 9  

 

i.   Every even integer greater than 2 is the sum of two primes  

 

j.  This sentence is false.  

 

2.  Compound Statements:  a more complex statement composed of simpler statements.  The truth-value of a compound statement depends on the truth values of the simpler component statements.  The component statements in a compound statement are often referred to as statement variables.

 A compound statement usually consists of statement variables joined by logical connectives.

3.   Logical Connectives:  

Not (negation)  

Mathematical symbol:  ~

~p means "it is not the case that p"  where p is some statement.

Other notations: EMBED Equation.DSMT4  , EMBED Equation.DSMT4  

C++ notation:  

The negation of a statement has the opposite truth-value from the statement.  If p is true, ~p  is false.

The definition of negation is displayed in a truth table

p       ~p

F         T

T         F

And (conjunction)

Mathematical symbol:   EMBED Equation.DSMT4  

EMBED Equation.DSMT4    means “it is the case that p and q are true.”

C++ notation:  

The conjunction of two statements p and q is true when and only when both p and q are both true.

The definition of conjunction is displayed in a truth table

p    q       EMBED Equation.DSMT4  

F    F        

F    T        

T    F        

T    T        

Example

p:    MIDN Berrios is an officer

q:    MIDN

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