# Problems from Definition and notation of sets

Define the following sets by compression:

a) $A = \{b,c,d,f,g,h,\ldots,z\}$ b) $B = \{a,e,i,o,u\}$ c) $C = \{1,2,3,4,5\}$

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### Development:

In the first, we notice that the elements of our set are the consonants of the ABC, therefore, we can define the set $A$ as $A =\{\text{consonants of the alphabet}\}$.

The second are the vowels of the alphabet, so that $B = \{\text{vowels of the alphabet}\}$.

And the third are the natural numbers less than or equal to $5$, then $C = \{x\in\mathbb{N} \ | \ x\leq 5 \}$.

### Solution:

a) $A =\{\text{consonants of the alphabet}\}$

b) $B = \{\text{vowels of the alphabet}\}$

c) $C = \{x\in\mathbb{N} \ | \ x\leq 5 \}$

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