Beginning Activity 2: Working with Venn Diagrams

Beginning Activity Beginning Activity 2: Working with Venn Diagrams
A4 US

1.

Draw a Venn diagram for two sets, $A$ and $B,$ with the assumption that $A$ is a subset of $B .$ On this Venn diagram, lightly shade the area corresponding to $A^{c} .$ Then, determine the region on the Venn diagram that corresponds to $B^{c} .$ What appears to be the relationship between $A^{c}$ and $B^{c} ?$ Explain.

2.

Draw a general Venn diagram for two sets, $A$ and $B .$ First determine the region that corresponds to the set $A - B$ and then, on the Venn diagram, shade the region corresponding to $A - (A - B)$ and shade the region corresponding to $A \cap B .$ What appears to be the relationship between these two sets? Explain.

Mathematical Reasoning: Writing and Proof (PreTeXt Edition)

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Beginning Activity Beginning Activity 2: Working with Venn Diagrams
A4 US

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Beginning Activity Beginning Activity 2: Working with Venn Diagrams A4US

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Beginning Activity Beginning Activity 2: Working with Venn Diagrams
A4 US