Question

help please

Answer 1

@dude

Answer 2

@Vocaloid

Answer 3

nevermind this, i already solved it, i have a different question though.

Answer 4

the ~ in front of q means "not q"

so everything in p but excluding everything in q

Answer 5

so that means the one on the top right?

Answer 6

*excluding everything in q*

Answer 7

so the top left one then

Answer 8

good

Answer 9

so this one dosent have a ~, which means it includes q, right?

Answer 10

right

Answer 11

for truth tables, if you have p v q I believe that in order for the result to be true, you need at least one truth value between p and q

Answer 12

so the first one is marked out, because it has an FF, yet it's T

Answer 13

yes

Answer 14

same for the second one, i assume also

Answer 15

yes

Answer 16

however, the third one looks the most reasonable one

Answer 17

good, that's your sol'n

Answer 18

for this one, you need to go back to the first question, right? or is this different?

Answer 19

hm. not sure about this one tbh. I'll see what I can find on the web.

Answer 20

hm. not sure about this one tbh. I'll see what I can find on the web.

Answer 21

alright

Answer 22

asked someone for advice on this one and they suggest ~(p v q) since nothing in the venn diagram is shaded, this statement would exclude everything inside the diagram

Answer 23

the upside down V symbol /\ means that both p and ~q need to be true in order for the result to be true, otherwise its false

make sure you are looking at the ~q column not the q column

Answer 24

ah, so both need to be T to be completely true, or have T in the right columm

Answer 25

yes

Answer 26

so the bottom left one?

Answer 27

be sure you are looking at the p column and the ~q column not the q column

Answer 28

oh, so both P and ~q need to be T?

Answer 29

yes

Answer 30

oh, the top left one then

Answer 31

top left has p true Q~ false but the result is still true which cannot be the case

notice how the top right has every p/\~q false except when they're both true which matches the original statement, so it has to be the top right

Answer 32

oh, alright

Answer 33

this one has an arrow, now...

Answer 34

so the arrow is an if-then statement

a --> b is true except where a is true and b is false

Answer 35

so ~p --> ~q is only false when ~p is true and ~q is false;

otherwise the statement is true

Answer 36

the correct solution will show

~p T and ~q F ====> F
with all the other rows in the table being true

Answer 37

oh,

Answer 38

top right?

Answer 39

@Vocaloid

Answer 40

top right cannot be true because it has ~p T and ~q F ====> T instead of F

Answer 41

look for the table that shows:

~p T and ~q F ====> F

with every row besides that row being true

Answer 42

they all do have that column

Answer 43

so it's either the top left or the bottom right.

Answer 44

only the top left and bottom right have

~p T and ~q F ====> F

Answer 45

but looking at it more, it's the top left

Answer 46

now, between those two, pick the choice where every row except that row is true

Answer 47

good, top left

Answer 48

for this one, we kinda went over it before,

Answer 49

it's pV~q which it's like...

Answer 50

P=t, ~q=f = T?

Answer 51

yes

Answer 52

bottom left?

Answer 53

note that if both p and ~q are false the result must be false not true

so there must be at least one statement that is F instead of T

Answer 54

so the top right then?

Answer 55

for p V ~q

the result will be true unless p and ~q are both false

you will have three T's and one F

Answer 56

be sure you are checking the correct columns

Answer 57

last check would be the bottom right, then,

Answer 58

be sure you are looking at the p and the ~q columns not the q column

Answer 59

okay, something strange happened...

Answer 60

i dont know what, but it looked like it resetted and changed during me testing it..

Answer 61

uh alright then

Answer 62

anyways....

Answer 63

i guess let's just continue...

Answer 64

you have the upside down V here which means ~and~

so if ~p and ~q must both be true for the result to be T, otherwise it's F

Answer 65

top left.

Answer 66

perfect

Answer 67

i would guess this one is A?

Answer 68

p V q would include the middle section too so it can't be A

try to find the statement that will exclude the part where p and q are both true

Answer 69

then B? P /\ q?

Answer 70

that might not be it either..

Answer 71

p /\ q would only be the middle section and that's the opposite of what we want

Answer 72

leaves C and D

Answer 73

hint: the blue crescent on the left can be described as "not q" and the blue crescent on the right can be described as "not p"

Answer 74

so it's D then

Answer 75

but wait, v means that they have to include the center one

Answer 76

p V q must include the center, yes

~p V ~q does not include the center

~p means everything outside p
~q means everything outside q

so combining them means everything that is ouside p or outside

Answer 77

*or outside q which excludes the center

making D the only possible sol'n

Answer 78

alright so it says p/\q

Answer 79

that means they need to be false to be true?

Answer 80

/\ means "and" so both p and q must be true in order for the result to be T

otherwise, F

Answer 81

so yeah the one you've selected is correct

Answer 82

@Vocaloid

Answer 83

~p --> ~q is only false if ~p = T and ~q = F
every other condition of ~p and ~q is T

Answer 84

alright

Answer 85

the top right one then

Answer 86

good

Answer 87

so /\ means "and" right?

Answer 88

yes

Answer 89

so A

Answer 90

yes

Answer 91

converse means negative, or opposite, right?

Answer 92

sort of, if you have an if-then statement you just reverse the if and then parts

Answer 93

so the converse of p -> q is ~p->~q?

Answer 94

that would be the inverse not the converse

converse would be q -> p

Answer 95

thanks