Question

1. the diagram below shows the types of computers students owned.

how many students did not own both a desktop and a laptop computer?

1. the diagram below shows the attributes of flowers in a flower shop.

how many flowers were red with thorns?

1. the diagram below shows the sports people watched.

how many people watched soccer?

1. the diagram below shows the game consoles students owned.

how many people owned both a ps4 and a xbox?

1. the diagram below shows the gender of students siblings.

how many students did not have both a brother and a sister?

1. the diagram below shows the pets students in a class owned.

how many people had a cat?

Explanation:

Step1: Analyze the first V -enn diagram for computers

For students who did not own both a desktop and a laptop, we add the number of students who own only a desktop and only a laptop. So it is \(4 + 9=13\).

Step2: Analyze the second V -enn diagram for flowers

The number of red flowers with thorns is the number in the intersection, which is \(6\).

Step3: Analyze the third V -enn diagram for sports

The number of people who watched soccer is the sum of those who watched only soccer and those who watched both soccer and baseball. So it is \(14+9 = 23\).

Step4: Analyze the fourth V -enn diagram for game consoles

The number of people who owned both a Ps4 and an Xbox is the number in the intersection, which is \(9\).

Step5: Analyze the fifth V -enn diagram for siblings

The number of students who did not have both a brother and a sister is the sum of those who have only a brother and only a sister. So it is \(12 + 11=23\).

Step6: Analyze the sixth V -enn diagram for pets

The number of people who had a cat is the sum of those who have only a cat and those who have both a cat and a dog. So it is \(19+6 = 25\).

Answer:

1. 13
2. 6
3. 23
4. 9
5. 23
6. 25