If the statements p: If voltage increases then current decreases. q : If voltage does not increases then current does not decreases. r : If current decreases then voltage increases. s : If current does not decreases then voltage does not increases. then which of the following pairs of statements having same meaning

Step-by-step solution

Let V be the statement "voltage increases". Let C be the statement "current decreases". The given statements can be represented symbolically as: p : V C q : V C r : C V s : C V A conditional statement is logically equivalent to its contrapositive ( A B B A ). The contrapositive of statement p ( V C ) is C V , which is exactly statement s . Thus, p and s are logically equivalent. The contrapositive of statement q ( V C ) is C V , which is exactly statement r . Thus, q and r are logically equivalent. Therefore, the p