Which of the following sets are equal to each other? а. А%3D {1,2, 3} b. B= {} C = {Hello, Hi, Good Morning} d. D= {a, c, g, x} е. Е%3D {3, 1, 2} f. F= Ø g. G= {Good Evening, Hi Hello} h. H= {x, a, g, c} i. K={x:x E Z+ and x is even } j. L={x: x E N, x+1 is odd } С.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Which of the following sets are equal to each other?
а. А %3D {1,2, 3}
b. B={}
C = {Hello, Hi, Good Morning}
d. D= {a, c, g, x}
E = {3, 1, 2}
f. F= Ø
g. G= {Good Evening, Hi Hello}
h. Н%3D {x, а, g, c}
K= { x: x E Z+ and x is even}
j. L= {x: x€ N, x+1 is odd }
С.
е.
=
i.
Transcribed Image Text:Which of the following sets are equal to each other? а. А %3D {1,2, 3} b. B={} C = {Hello, Hi, Good Morning} d. D= {a, c, g, x} E = {3, 1, 2} f. F= Ø g. G= {Good Evening, Hi Hello} h. Н%3D {x, а, g, c} K= { x: x E Z+ and x is even} j. L= {x: x€ N, x+1 is odd } С. е. = i.
Expert Solution
Step 1

Two sets Y and Z, are said to be equal sets when every element of set Y exist in the set Z, and every element of set Z exist in the set Y. Also, they are equal if both sets are the subsets of each other.

This is expressed as:
Y = Z
Y ⊂ Z and Z ⊂ Y ⟺ Y = Z
If the above-stated condition is not satisfied, then the sets are declared as unequal. This is expressed as:
Y ≠ Z

Example:
A ={a,b,c,d,e}
B= {e,a,c,b,d}

A=B
A is equal to B

P = {a,b,c,d,e}
Q={m,n,o,p,q}
P ≠ Q
Also, here P is equivalent to Q since they have the same cardinality number i.e. n(P) = n(Q), but P is not equal to Q as both have different sets of elements. 

 

Null set /empty set is represented by  – {} or.

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