Determine whether the following sets are finite, infinitely countable or uncount

Question

Determine whether the following sets are finite, infinitely countable or uncountable, and their car dinality: 6. A = {a, red, green, 0, 1), B={x | x2 + 2x + 1 = 0, x E R), C = N,-(0, 1, 2,.. .), D (students currently attending Lisgar Collegiate) = {female students currently attending Lisgar Collegiate), F [femal le students currently enrolled in an engineering program at the University of Ottawa and who were born after Jan. 1, 2009), I -1,2) U [1,3] Determine if any of these sets is equal to any other of these sets and which is a subset of another

Explanation / Answer

Answer

A= {nullset, red , green,0,1}

A is a finite set with countable values. the cardinality of A=5.

B= {x| x2+2x+1=0} here x belongs to real numbers

so x= (-1,-1) hence B is a finte set and countable with cardinality =2

C=No={0,1,2,.......} , C is an infinite set which is non countable and cardinality cannot be defined of an infinite set.

D={students currently attending Lisgar collegiate}

D is the finite set and countable its cardinality is countable but not given

E={ female students currently attending Lisgar collegiate}

E is the subset of D

E is a finite and countable set its cardinality is countable but not given

F={ female students currently enrolled in an engineering program at the university of ottawa and who were born after jan. 1, 2009}

F is a finite and countable set its cardinality is countable but not given.{x|

G=[0,3}

G has values 0,1,2 hence it is a finite and countable set with its cardinality =3

H={x | x2-3x+2=0}, x belongs to real no.

hence x=( 1,2) so H is finte and countable set with its cardinality =2

H is a subset of G

I= {-1, 2 } U [ 1, 3 ], here 2 will be comman hence

I= { -1, 1, 2, 3 }

so I is finite and countable set, its cardinality= 4

H is a subset of I

B is the subset of I

G is the subset of C

H is a subset of G

E is the subset of D

there are no equal sets

B and H are equivalent set with same no. of cardinality =2

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.