If r is false and s is false, what is the truth value of s∧(r∧s)?

Question

If r is false and s is false, what is the truth value of s∧(r∧s)?

Answer 1

x ∧ y is true only when x and y are both true

 

So, since r and s are both false, r ∧ s is also false.

 

Therefore, s ∧ (r ∧ s) is false since r ∧ s is false.