Venn diagrams PRACTICE

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, using overlapping circles to show commonalities and differences.

Front

How do you determine the number of elements in the union of two sets using a Venn diagram?

Back

To find the number of elements in the union of two sets, add the number of elements in each set and subtract the number of elements in their intersection.

Front

What does the intersection of two sets represent in a Venn diagram?

Back

The intersection of two sets represents the elements that are common to both sets.

Front

If Set A has 10 elements and Set B has 15 elements, and they have 5 elements in common, how many elements are in the union of Set A and Set B?

Back

The number of elements in the union is 10 + 15 - 5 = 20.

Front

What is the formula for finding the number of elements in the union of three sets?

Back

The formula is |A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|.

Front

How can you represent students who ski, ice skate, or do both using a Venn diagram?

Back

Use two overlapping circles: one for students who ski and one for those who ice skate. The overlap represents students who do both activities.

Front

What does it mean if a section of a Venn diagram is empty?

Back

An empty section indicates that there are no elements in that specific category or combination of categories.

Front

How can Venn diagrams help in solving word problems?

Back

Venn diagrams help visualize relationships and intersections between different groups, making it easier to analyze and solve problems.

Front

In a survey, if 30 students like chocolate, 25 like vanilla, and 10 like both, how many like either chocolate or vanilla?

Back

30 + 25 - 10 = 45 students like either chocolate or vanilla.

Front

What is the shaded area in a Venn diagram typically used to represent?

Back

The shaded area often represents the elements that meet certain criteria or conditions specified in a problem.