Venn Diagrams Sheet 3: Use the table to fill in the overlapping circles for "Boys" and "Likes tennis," and "Age 10 or older" and "Has pets."

Let's solve this step by step using the information from the table.

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Step 1: Understand the Table

We have 6 people:

| Name | Boy/Girl | Age | Likes tennis | Has pets |
|--------|----------|-----|--------------|----------|
| Dan | Boy | 11 | yes | no |
| Anna | Girl | 9 | no | yes |
| Seb | Boy | 12 | yes | yes |
| Rosie | Girl | 8 | yes | no |
| Jamie | Boy | 9 | no | no |
| Megan | Girl | 9 | no | yes |

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## First Venn Diagram: "Boys" vs "Likes tennis"

We have two circles:
- Left circle: Boys
- Right circle: Likes tennis
- Overlap: Boys who like tennis

Let’s analyze each person:

Boys:

- Dan (Boy, likes tennis)
- Seb (Boy, likes tennis)
- Jamie (Boy, does NOT like tennis)

So:
- Only Boys (don’t like tennis): Jamie
- Both Boys and Likes tennis: Dan, Seb
- Only Likes tennis (not a boy): Rosie (girl, likes tennis)

> Note: Anna, Megan are girls and don't like tennis → not in either circle
> Rosie is a girl who likes tennis → only in "Likes tennis"

Fill in the first Venn diagram:

- Left circle only (Boys only): Jamie
- Right circle only (Likes tennis only): Rosie
- Overlap (Boys AND Likes tennis): Dan, Seb

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## Second Venn Diagram: "Age 10 or older" vs "Has pets"

Two circles:
- Left: Age 10 or older
- Right: Has pets
- Overlap: Age 10+ AND has pets

Check each person:

| Name | Age ≥10? | Has pets? | Position |
|--------|---------|-----------|----------|
| Dan | 11 → yes | no | Only left (age 10+) |
| Anna | 9 → no | yes | Only right (has pets) |
| Seb | 12 → yes | yes | Overlap |
| Rosie | 8 → no | no | Outside both |
| Jamie | 9 → no | no | Outside both |
| Megan | 9 → no | yes | Only right (has pets) |

So:
- Only Age 10 or older: Dan
- Only Has pets: Anna, Megan
- Overlap (both): Seb
- Outside both: Rosie, Jamie

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## ✔ Final Answer:

First Venn Diagram: "Boys" vs "Likes tennis"

```
Boys Likes tennis
_______ _________
| | | |
| Jamie | | Rosie |
| | | |
_______ _________
\ /
\ /
\ /
\ /
\ /
\ /
\ /
X
|
|
|
```

Wait — better to write it clearly:

- Boys only: Jamie
- Likes tennis only: Rosie
- Both: Dan, Seb

So:
- Left circle (Boys): Jamie
- Right circle (Likes tennis): Rosie
- Overlap: Dan, Seb

---

Second Venn Diagram: "Age 10 or older" vs "Has pets"

- Age 10 or older only: Dan
- Has pets only: Anna, Megan
- Both: Seb
- Neither: Rosie, Jamie

So:
- Left circle (Age 10+): Dan
- Right circle (Has pets): Anna, Megan
- Overlap: Seb
- Outside: Rosie, Jamie

---

✔ Final Filled-in Diagrams:

#### Diagram 1: Boys vs Likes Tennis

```
[Boys] [Likes tennis]
________ _________
| | | |
| Jamie | | Rosie |
| | | |
________ _________
\ /
\ /
\ /
\ /
\ /
\ /
\ /
\ /
\ /
\ /
\ /
\/
X
|
|
|
```

But properly labeled:

- Boys only: Jamie
- Likes tennis only: Rosie
- Both: Dan, Seb

> So in the diagram:
> - Left circle (Boys): Jamie
> - Right circle (Likes tennis): Rosie
> - Overlap: Dan, Seb

---

#### Diagram 2: Age 10 or older vs Has pets

- Age 10+ only: Dan
- Has pets only: Anna, Megan
- Both: Seb
- Neither: Rosie, Jamie

> So:
> - Left circle (Age 10+): Dan
> - Right circle (Has pets): Anna, Megan
> - Overlap: Seb
> - Outside both: Rosie, Jamie

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✔ Summary of Answers:

#### Venn Diagram 1: Boys vs Likes Tennis
- Boys only: Jamie
- Likes tennis only: Rosie
- Both: Dan, Seb

#### Venn Diagram 2: Age 10 or older vs Has pets
- Age 10+ only: Dan
- Has pets only: Anna, Megan
- Both: Seb
- Neither: Rosie, Jamie

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Now you can fill these names into the diagrams accordingly. Let me know if you'd like a visual representation!