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A) Let be a proposition "Fred wanted me fired", is proposition "Fred is going to the boss". So the proposition "If Fred wanted me fired then he would go to the boss" is We have that is true and is true. If is false, the proposition also is true because a lie can lead to both truth and falsehood. So can be false.
B) Let be a proposition "Max is a cat" , is propsition "Max is a mammal". We have two arguments: that are true. If B is true, we have that also is true and can be true of false. But Max can't be a cat and a mammal simultaneously in a real life. So the proposition is true.