Question

Which combination represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle

Answer 1

The combination that denotes the empty set{∅} is motor ∩ bicycle.

What is a set theory?

Set theory is the mathematical study of well-defined groups of things called elements of the set.

In the given Venn diagram, the elements in the set of Motor, Manual, and Bicycle are as follows:

• Motor = {8, 24}
• Manual = {24, 32}
• Bicycle = {44}
• The union of motor and manual i.e. Motor ⋃ Manual = {24}

The combination that represents an empty set {∅} is the intersection that occurred between motor and bicycle and can be expressed as:

= motor ∩ bicycle

This is because there are no set elements overlapping between motor and bicycle, this makes it an empty set{∅}.

Learn more about set theory here:

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