In higher derivative theories, gravity can propagate faster or slower than light. This fact has consequences for holographic constructs in AdS/CFT. In this talk, I will focus on the causal and entanglement wedges. I will argue that, in higher derivative theories, these wedges should be constructed using the fastest mode instead of null rays. I will show that using this proposal, the property of causal wedge inclusion, i.e. the fact that the causal wedge must be contained in the entanglement wedge, leads to more stringent constraints on the couplings than those imposed by hyperbolicity and boundary causality. I will elaborate on the implications of these results.