SOLUTION: https://ibb.co/4jX8y86

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Question 1177989: https://ibb.co/4jX8y86
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

p........q........ (¬p ∧ q)
F........ F................F
F........ T................T
T........ F................F
T........ T................F

p........ q........ (q → p)
F........ F................ T
F........ T................ F
T........ F................ T
T........ T................ T

p........ q........ ((¬p ∧ q) ∧ (q → p))
F........ F................ F
F........ T................ F
T........ F................ F
T........ T................ F

p........ q........ (((¬p ∧ q) ∧ (q → p)) ↔ (¬p ∧ q))
F........ F................................ T
F........ T................................ F
T........ F................................ T
T........ T................................ T
answer:
p........ q........(¬p ∧ q)........(q → p).........((¬p ∧ q) ∧ (q → p)).........(((¬p ∧ q) ∧ (q → p)) ↔ (¬p ∧ q))
T........ T..............F...................T...............................F.............................................. T