Probability Involving Inequality

Events \(A\) and \(B\) are such that \(\text{P}\hspace{0.1em}\left( A \right)=0.47\) and \(\text{P}\hspace{0.1em}\left( B \right)=0.7\).

Find an inequality for \(\text{P}\hspace{0.1em}\left( A\cap B \right)\).