If s is true and j is false, is the following true or false (~s v j) ^ (s v~ j)

S = true
~s = false

j = false
~j = true

~s = false and j = false, so,
~s v j = (false) v (false)
~s v j = false

Similarly,
s v ~j = (true) v (true)
s v ~j = true

We have 
~s v j = false
and 
s v ~j = true
which lead to this when we conjunct the two logical expressions
(~s v j) ^ (s v ~j) = (false) ^ (true)
(~s v j) ^ (s v ~j) = false


The final answer is false