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First point is about a casual system. Is it true that all FIR systems are casual? How can you tell if an IIR system is casual?

I am I correct in thinking that a FIR system only has a numerator and IIR system has both a numerator and denominator?

For example: h(n) = u(n+1) -u(n-1) and h(n) = 5^n . U(-n)

Are both of these FIR systems?