1

Problem

Draw a Venn diagram of the positive integers less than 19, where set A consists of factors of 18 and set B consists of even numbers.

2

Step

Understanding the Venn Diagram:
Universal Set:

The large rectangle in the diagram represents the universal set, which includes all positive integers less than 19 (from 1 to 18)

3

Step

Set A (Factors of 18):

The circle labeled "A" depicts the set of factors of 18. The factors of 18 are 1, 2, 3, 6, 9, and 18, and they are all correctly placed within circle A

4

Step

Set B (Even Numbers):

The circle labeled "B" represents the set of even numbers. Even numbers are integers divisible by 2. In this case, the even numbers less than 19 are 2, 4, 6, 8, 10, 12, 14, 16, and 18. All these even numbers are placed within Circle B

5

Step

Intersection:

The overlapping area between circles A and B shows the numbers that are both factors of 18 and even. The only number that falls under this category is 18

6

Solution

Therefore, 18 is placed in the intersection of circles A and B.

7

Sumup

Please summarize steps

Choices

8

Choice-A

The option A Venn diagram you provided accurately represents the relationship between factors of 18 (set A) and even numbers (set B) for positive integers less than 19. All factors of 18 are inside circle A. All even numbers are inside circle B. The only number common to both sets (the intersection) is 18. Therefore, option A effectively depicts the given sets using a Venn diagram

Correct

9

Choice-B

This option might state that only even numbers are factors of 18. This is incorrect because 1 and 3 are factors of 18, but they are odd numbers

Wrong

10

Choice-C

This option might state that all factors of 18 are less than 10. This is incorrect because 18 itself is a factor of 18, and it is greater than 10

Wrong

11

Choice-D

This option might state that there are no even numbers that are factors of 18. This is incorrect because 18, a factor of 18, is also an even number

Wrong

12

Answer

A

13

Sumup

Please summarize choices