Solutions Midterm Exam 1 — Mar. 5, 20141. Determine whether the following statements are true or false.Justify your answer (i.e., prove theclaim, derive a contradiction or give a counter-example).(a) (10 points) IfA⊂B, andBis countable, thenAis countable.
(b) (10 points) IfBis an open cover of (0,1], thenBhas a finite subcover.