I am wondering about something. Let's take the example of the bachelor:(adsbygoogle = window.adsbygoogle || []).push({});

(1) If X is a man, and

(2) if X is unmarried, then

(3) X is a bachelor.

So in this example, (1) is a necessary condition for (3), and (2) is also a necessary condition for (3). But considered together, if (1) and (2) are both satisfied, can that be considered a sufficient condition? Like in the following example,

(4) If X is an unmarried man, then

(5) X is a bachelor.

(4) is now a sufficient condition for (5). Am I right?

My actual question is, is there any other way of stating that (1) and (2) are together sufficient, other than writing them together as one condition, as in (4)? Or can I outright state that "together, (1) and (2) are sufficient for (3)". I haven't taken a logic class, so I don't really know what the "rules" are...

(This is for a word problem in my analysis class.)

Thanks.

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# If X is a man, and if X is unmarried, then X is a bachelor

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