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Que. The symmetric difference of two sets S1 and S2 is defined as

S1ΘS2 = {x|xϵS1 or xϵS2, but x is not in both S1 and S2}

The nor of two languages is defined as
nor (L1,L2) = {w|w ∉ L1 and w|w ∉ L2}

Which of the following is correct?
a. The family of regular languages is closed under symmetric difference but not closed under nor
b. The family of regular languages is closed under nor but not closed under symmetric difference
c. The family of regular languages are closed under both symmetric difference and nor
d. The family of regular languages are not closed under both symmetric difference and nor
Answer:The family of regular languages are closed under both symmetric difference and nor
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