Show that (b), (c), (f), and (g) of Exercise 2 hold for arbitrary unions and intersections. Let f : A → B and let A i ⊂ A and B i ⊂ B for i = 0 and i = 1 . Show that f − 1 preserves inclusions, unions, intersections, and differences of sets: f − 1 ( B 0 ∩ B 1 ) = f − 1 ( B 0 ) ∩ f − 1 ( B 1 )
Show that (b), (c), (f), and (g) of Exercise 2 hold for arbitrary unions and intersections. Let f : A → B and let A i ⊂ A and B i ⊂ B for i = 0 and i = 1 . Show that f − 1 preserves inclusions, unions, intersections, and differences of sets: f − 1 ( B 0 ∩ B 1 ) = f − 1 ( B 0 ) ∩ f − 1 ( B 1 )
Solution Summary: The author explains that if f:Ato B is a subset of A, then the set of all elements whose image under
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