Which combination represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle
1 answer:
The combination that denotes the empty set{∅} is motor ∩ bicycle.
<h3>What is a set theory?</h3>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{∅}.
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