Is lack of inherent existence the same as 'not real'?

I'm reading Rob Burbea's book Seeing That Frees. The book is about ways of working with emptiness. In the book, he says that things lack inherent existence. I'm fairly sure this isn't the same as not being real. Is that right? Can things be real and lack inherent existence? I appreciate the real answer will be to meditate on this, but I find exploring such issues more intellectually to be helpful too.