According to its truth table, which property best characterizes it?

Question

For this statement,

"Either a tax reduction is feasible only if both education costs do not increase and the welfare program is abolished, or a tax reduction is feasible and either the welfare program will not be abolished or educational costs will increase." [use R, E, W] 

According to its truth table, which property best characterizes it?  

a.it is sound.

b.It is a tautology.

c.It is contingent.

d. it is self-contradictory.

Answer 1

(not E and W) --> R or R and (not W or E)

part 1 = (not E and W) --> R

part 2 = R and (not W or E)

R E W not E not W not E and W part1 not W or E part2 Final

T T T F F F T T T T

T T F F T F T T T T

T F T T F T T F F F

T F F T T F T T T T

F T T F F F T T F T

F T F F T F T T F T

F F T T F T F F F F

F F F T T F T T F T