B. Answer the given questions. Write the letter of your answer on the space provided before each number. d. {all real numbers} d. 11 c. {8} c. 7 6. What best represent a set with this description: "a set containing an 8 when a regular die is rolled"? b. {0} 7. Which of the following is a well-defined set? a. a set of painters c. a set of students b. a set of Philippine Presidents d. a set of idols 8. Given the set of consonants in the word "MATHEMATICS". What is the b. 5 a. {} cardinality of the given set? a. 4
Answers
a= { } best represent a set containing an 8 when a regular die is rolled
A set of Philippine Presidents is a well-defined set
Cardinality of the given set is 5
Given:
- 6. A set containing an 8 when a regular die is rolled
- 8. The set of consonants in the word "MATHEMATICS"
To Find:
- 6. Choose which best represent set
- a= { } , b = { 0} , c = { 8} , d = { all real number}
- 7. A well-defined set from below options
- a. a set of painters
- b. a set of Philippine Presidents
- c. a set of students
- d. a set of idols
- 8. Cardinality of the given set
Solution:
6.
A set containing an 8 when a regular die is rolled
A regular die has number from 1 to 6
Hence getting an 8 is not possible
so a A set containing an 8 when a regular die is rolled is EMPTY / Null set
and same can be represented as { } or ∅
From the given option { } is correct
option a is correct
7. A set of Philippine Presidents is a well-defined set as Philippine Presidents are countable and unique
a set of painters or a set of students or a set of idols is impossible to count exactly
The set of consonants in the word "MATHEMATICS"
Vowels are 1 ,e i , o , u
Rest all are consonants
Consonants in MATHEMATICS are M , T , H , C , S
set of consonants in the word "MATHEMATICS" = { M , T , H , C , S}
Cardinality of set is number of elements in the set
Hence cardinality of the given set is 5 as there are 5 elements