The direct asymmetries of the decays $B^0 \rightarrow K^{*0} \mu^+ \mu^-B^+ \rightarrow K^{+} \mu^+ \mu^-pp\mbox{fb}^{-1}B^0 \rightarrow J/\psi K^{*0}B^+ \rightarrow J/\psi K^{+}$ are used to account for detection and production asymmetries. The measurements are made in several intervals of invariant mass squared, with the and charmonium resonance regions excluded. Under the hypothesis of zero asymmetry in the control modes, the average values of the asymmetries are \begin{align} {\cal A}{C!P}(B^0 \rightarrow K^{*0} \mu^+ \mu^-) &= -0.035 \pm 0.024 \pm 0.003, \cr {\cal A}{C!P}(B^+ \rightarrow K^{+} \mu^+ \mu^-) &= \phantom{-}0.012 \pm 0.017 \pm 0.001, \end{align} where the first uncertainties are statistical and the second are due to systematic effects. Both measurements are consistent with the Standard Model prediction of small asymmetry in these decays.

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