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Let sets A and B be defined as follows.
A is the set of integers greater than -14 and less than -5.
B={h,i,s,x,z}
a) find the cardinalities of A and B
n(A)=
n(B)=

b) select true or false
-12 ∈ A
-21 ∈ A
s ∈ B
m ∉ B

Let sets A and B be defined as follows A is the set of integers greater than 14 and less than 5 Bhisxz a find the cardinalities of A and B nA nB b select true o class=

Respuesta :

tushargupta0691

A is the set of integers greater than -14 and less than -5. B={h, i, s, x, z}. The cardinalities of A and B are, n(A) = 8 and n(B) = 5.

-12 ∈ A, s ∈ B, and m ∉ B are True statements. Since, -21 does not belong to A, 21 ∈ A is a False statement.

Cardinalities of A and B

It is given that,

A = {n : -14 < n < -5, n ∈ Z}  ............ (1)

B = {h, i, s, x, z} ......... (2)

Thus, from (1),

A = {-13, -12, -11, -10, -9, -8, -7, -6} ........... (3)

Cardinalities of A and B are the number of members in the set A and B, respectively. Therefore,

n(A) = 8

n(B) =5

Reason Behind True or False

  • As  seen from (3), set A contains the element -12. Thus, -12 ∈ A is True.
  • Again from (3), we can see that -12 does not belong to the set A. Thus, -21 ∈ A is False
  • From (2), s is present in set B. Hence, s ∈ B is True
  • Similarly, m is not present in set B. Therefore, m ∉ B is True

Learn more about cardinalities here:

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