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#### Resources tagged with Inverses similar to An Introduction to Mathematical Structure:

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##### Other tags that relate to An Introduction to Mathematical Structure
Rotations. Groups. Subgroups. Order of elements in a group. Modulus arithmetic. Structures of simple finite groups. Reflections. Symmetry. Inverses. Invariance properties.

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Broad Topics > Calculations and Numerical Methods > Inverses

### Groups of Sets

##### Stage: 5 Challenge Level:

The binary operation * for combining sets is defined as the union of two sets minus their intersection. Prove the set of all subsets of a set S together with the binary operation * forms a group.

### What's a Group?

##### Stage: 5 Challenge Level:

Explore the properties of some groups such as: The set of all real numbers excluding -1 together with the operation x*y = xy + x + y. Find the identity and the inverse of the element x.

### Alphabetti Sudoku

##### Stage: 3 and 4 Challenge Level:

This Sudoku requires you to do some working backwards before working forwards.

### The Mean Problem

##### Stage: 4 Challenge Level:

There are four unknown numbers. The mean of the first two numbers is 4, and the mean of the first three numbers is 9. The mean of all four numbers is 15. If one of the four numbers was 2, what were. . . .