Let A = {x|x ∈ N∧x < 15}, B = {x|x ∈ Z∧x < 20∧x > −4∧x/2 ∈...

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Let A ={x|x ∈ N∧x < 15}, B ={x|x ∈ Z∧x < 20∧x >−4∧x/2 ∈ Z}, C = {x|x ∈N∧x2 ∈ A}.

Calculate the following expressionsusing the counting tools we have learned as appropriate. Show yourwork.

  1. |A ∪ B ∪ C|
  2. |A × (B ∪ C)|
  3. |A − B| + |C − B| + |B| − |(A ∩ C) − B|

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