Venn diagrams with 3 sets

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Venn diagrams with 3 sets

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Example 1

Represent the set (A ∩ B⁰) ∪ C on a Venn diagram.

We can start by shading A ∩ B⁰ and C . We get the following diagram:

The darker colour means that this region has been shaded twice.

Tomasz Lechowski Batory 1IB Studies 11 października 2018 2 / 9

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Example 1

Represent the set (A ∩ B⁰) ∪ C on a Venn diagram.

We can start by shading A ∩ B⁰ and C . We get the following diagram:

The darker colour means that this region has been shaded twice.

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Example 1

Now we want the union ∪ of these two sets, this means that we take everything that has been shaded at least once, so the answer will be:

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Example 2

Represent the set (A ∪ B) ∩ C⁰ on a Venn diagram.

We can start by shading A ∪ B and C⁰. We get the following diagram:

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Example 2

Represent the set (A ∪ B) ∩ C⁰ on a Venn diagram.

We can start by shading A ∪ B and C⁰. We get the following diagram:

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Example 2

Now we want the intersection ∩ of these two sets, so we take everything that has been shaded twice, so the answer will be:

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Example 3

Represent the set B ∩ (A ∩ C⁰) on a Venn diagram.

We can start by shading B and A ∩ C⁰. We get the following diagram:

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Example 3

Represent the set B ∩ (A ∩ C⁰) on a Venn diagram.

We can start by shading B and A ∩ C⁰. We get the following diagram:

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Example 3

Now we want the intersection ∩ of these two sets, so the answer will be:

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Example 4

Represent the set B ∪ (A⁰∩ C⁰) on a Venn diagram.

We can start by shading B and A⁰∩ C⁰. We get the following diagram:

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Example 4

Represent the set B ∪ (A⁰∩ C⁰) on a Venn diagram.

We can start by shading B and A⁰∩ C⁰. We get the following diagram:

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Example 4

Now we want the union ∪ of these two sets, so the answer will be: