darleneporter said:

Can someone please help me, i am a little off with this question.

Construct a truth table for the statement.

s v (s ^ ~s)

&

(s ^ w)^(~w v t)

now, i am lost. also, could you also check the ones i have done below to see if i am on the right track:

Construct a truth table for the statement.

(p ^ ~q)^ s

p q s (p ^ ~q)^ s

t t t f

t t f f

t f t f

t f f f

f t t f

f t f t

f f t t

f f f t

Construct a truth table for the statement.

~s^ ~q

s q ~s^ ~q

t t t

t f f

f t f

f f t

Construct a truth table for the statement.

c v ~(r ^ p)

c r p c v ~(r ^ p)

t t t t

t t f t

t f t t

t f f t

f t t f

f t f t

f f t t

f f f t

The way I learned to do truth tables (which has served me WELL over half a century) is to make sure that you have everything represented by its own column....

I'll pick one of your problems as an example.

(p ^ ~q)^ s

As I see it, you will need columns for p, q, s, ~q, and s...as well as for (p ^ ~q) and [(p ^ ~q) ^ s]

Code:

```
p q s ~q (p ^ ~q) (p ^ ~q) ^ s
T T T F F F
T T F F F F
T F T T T T
T F F T T F
F T T F F F
F T F F F F
F F T T F F
F F F T F F
```

Ok...the right-most column tells you when that statement is true, and when it is false.

When you are creating a truth table, "more" is better than "less"....make sure you have a column for EVERY value in your final statement.