Answered

Discover how IDNLearn.com can help you learn and grow with its extensive Q&A platform. Find the information you need quickly and easily with our comprehensive and accurate Q&A platform.

6. Match the following:

(A) [tex]\(\{1, 2, 3, 6\}\)[/tex]

(i) [tex]\(\{y: y \text{ is a divisor of 6 and also a prime number}\}\)[/tex]

(B) [tex]\(\{T, R, I, G, O, N, M, E, Y\}\)[/tex]

(ii) [tex]\(\{y: y \text{ is less than 10 and also an odd number}\}\)[/tex]

(C) [tex]\(\{2, 3\}\)[/tex]

(iii) [tex]\(\{y: y \text{ is a natural number divisor of 6}\}\)[/tex]

(D) [tex]\(\{1, 3, 5, 7, 9\}\)[/tex]

(iv) [tex]\(\{y : y \text{ is a letter of the word TRIGONOMETRY}\}\)[/tex]

Sagot :

GinnyAnsweridn
To solve this problem, we need to match each set with the correct description. We will examine each set and each description to determine the correct pairs.

Step-by-step solution:
1. Identify Set (A):
[tex]\(\{1, 2, 3, 6\}\)[/tex]
- These numbers are all divisors of 6.
2. Identify Set (B):
[tex]\(\{T, R, I, G, O, N, M, E, Y\}\)[/tex]
- These are all letters that appear in the word "TRIGONOMETRY".
3. Identify Set (C):
[tex]\(\{2, 3\}\)[/tex]
- These numbers are prime numbers and also divisors of 6.
4. Identify Set (D):
[tex]\(\{1, 3, 5, 7, 9\}\)[/tex]
- These numbers are all odd and less than 10.

Next, we need to map these sets to the correct descriptions:

1. Description (i):
[tex]\(\{y: y \text{ is a divisor of 6 and also a prime number}\}\)[/tex]
- The prime divisors of 6 are [tex]\(\{2, 3\}\)[/tex], which corresponds to Set (C).

2. Description (ii):
[tex]\(\{y: y \text{ is less than 10 and also an odd number}\}\)[/tex]
- The numbers less than 10 and odd are [tex]\(\{1, 3, 5, 7, 9\}\)[/tex], which corresponds to Set (D).

3. Description (iii):
[tex]\(\{y: y \text{ is a natural number divisor of 6}\}\)[/tex]
- The natural number divisors of 6 are [tex]\(\{1, 2, 3, 6\}\)[/tex], which corresponds to Set (A).

4. Description (iv):
[tex]\(\{y: y \text{ is a letter of the word TRIGONOMETRY}\}\)[/tex]
- The letters of the word "TRIGONOMETRY" are [tex]\(\{T, R, I, G, O, N, M, E, Y\}\)[/tex], which corresponds to Set (B).

Therefore, the correct matches are:

- (A) [tex]\(\{1, 2, 3, 6\}\)[/tex] matches with (iii) (natural number divisors of 6).
- (B) [tex]\(\{T, R, I, G, O, N, M, E, Y\}\)[/tex] matches with (iv) (letters of the word TRIGONOMETRY).
- (C) [tex]\(\{2, 3\}\)[/tex] matches with (i) (divisors of 6 that are also prime numbers).
- (D) [tex]\(\{1, 3, 5, 7, 9\}\)[/tex] matches with (ii) (numbers less than 10 and odd).

Thus, the answer is:
- [tex]\(A \rightarrow (iii)\)[/tex]
- [tex]\(B \rightarrow (iv)\)[/tex]
- [tex]\(C \rightarrow (i)\)[/tex]
- [tex]\(D \rightarrow (ii)\)[/tex]

Representing this numerically, we obtain:
- [tex]\(A \rightarrow 3\)[/tex]
- [tex]\(B \rightarrow 4\)[/tex]
- [tex]\(C \rightarrow 1\)[/tex]
- [tex]\(D \rightarrow 2\)[/tex]

Hence, the numerical answer is [tex]\([3, 4, 1, 2]\)[/tex].
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.