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The regular set $A =(01+1)^*$ and the regular set $B =((01)^*1^*)^*$

Which of the following statements is TRUE?

  1. $A$ is a subset of $B$
  2. $B$ is a subset of $A$
  3. $A$ and $B$ are incomparable
  4. $A=B$
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(D) is the correct answer

Regular expression B =((01)*1*)* can be reduced to regular expression A =(01+1)* and vice versa.
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