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 ( A 0 ∪ A 1 ) = f ( A 0 ) ∪ f ( A 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 ( A 0 ∪ A 1 ) = f ( A 0 ) ∪ f ( A 1 )
Solution Summary: The author explains that if f:Ato B is a subset of A, the set of all elements whose image under
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RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY