If A is sufficient but not necessary for B, which statement is true?

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Multiple Choice

If A is sufficient but not necessary for B, which statement is true?

Sufficiency means one condition guarantees another, while necessity means the second condition guarantees the first. If A is sufficient but not necessary for B, then whenever A happens, B happens, but B can occur without A. So the statement that best matches is: A implies B, but B does not imply A. For example, studying for an exam can be enough to pass, but you can pass without studying, so A leads to B while B does not guarantee A. The other possibilities would require a stronger or different relationship (B implying A would make A necessary; independence would deny any implication; A being necessary and sufficient would make A and B equivalent).

Sufficiency means one condition guarantees another, while necessity means the second condition guarantees the first. If A is sufficient but not necessary for B, then whenever A happens, B happens, but B can occur without A. So the statement that best matches is: A implies B, but B does not imply A. For example, studying for an exam can be enough to pass, but you can pass without studying, so A leads to B while B does not guarantee A. The other possibilities would require a stronger or different relationship (B implying A would make A necessary; independence would deny any implication; A being necessary and sufficient would make A and B equivalent).

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