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Let A and B be two propositions. Explain the differences between the constructs A <-> B and A <=> B

Discrete Math
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you have the following posibilities: A -> B means: if A is true then B is true but if B is true that does not necesarilly mean that A is true. Example if it rains I will use my umbrella, always. But I can use my umbrella even if it's not raining if I feel like it. A <=> B means that if A is true, B is true as well and if A is false, B is false as well. So either A and B are both true, or both false.

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