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Prove that Pr[A] ≤ min(1, q/p) when Pr[B|A] ≥ p > 0 and Pr[B] ≤ q

Prove that Pr[A] ≤ min(1, q/p) when Pr[B|A] ≥ p > 0 and Pr[B] ≤ q

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in this problem we have to prove the following probability as follows :-

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