Question 1

Complete the truth table.

р
q
-
pЛ-4
P+
-(p+q)
F F
T
T
F
F
T
T T
F
T
T
חד
F
T
F
T
F
T
F
T
וד
F
וד
F
T
רד
F
F

Complete the truth table. р q - pЛ-4 P+ -(p+q) F F T T F F T T T F T T חד F T F T-example-1

Question 2

given the function

$(-p\rightarrow q)\rightarrow(q\rightarrow-r)$

option 1

P=T

Q=T

R=T

then

-P=F

-R=F

-P -> q=V

q ->-r= F

then

$(-p\operatorname{\rightarrow}q)\operatorname{\rightarrow}(q\operatorname{\rightarrow}-r)=F$

Option 2

P=T

Q=T

R=F

$(-p\operatorname{\rightarrow}q)\operatorname{\rightarrow}(q\operatorname{\rightarrow}-r)=T$

Option 3

P=T

Q=F

R=T

$(-p\operatorname{\rightarrow}q)\operatorname{\rightarrow}(q\operatorname{\rightarrow}-r)=T$

Option 4

P=T

Q=F

R=F

$(-p\operatorname{\rightarrow}q)\operatorname{\rightarrow}(q\operatorname{\rightarrow}-r)=T$

Option 5

P=F

Q=T

R=T

$(-p\operatorname{\rightarrow}q)\operatorname{\rightarrow}(q\operatorname{\rightarrow}-r)=F$

Option 6

P=F

Q=T

R=F

$(-p\operatorname{\rightarrow}q)\operatorname{\rightarrow}(q\operatorname{\rightarrow}-r)=T$

Option 7

P=F

Q=F

R=T

$(-p\operatorname{\rightarrow}q)\operatorname{\rightarrow}(q\operatorname{\rightarrow}-r)=T$

Option 8

P=F

Q=F

R=F

$(-p\operatorname{\rightarrow}q)\operatorname{\rightarrow}(q\operatorname{\rightarrow}-r)=T$

Complete the truth table. р q - pЛ-4 P+ -(p+q) F F T T F F T T T F T T חד F T F T-example-2

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