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This problem trains for: SAT-I.

If the operator ◊ has the property:

equation

then which of the following statements is false?

The property implies that:

equation

and since the only number that is equal to its opposite is zero, then:

equation

The statement A is true.

Statement B is false:

equation

Statement C is true:

equation

Statement D is true since it is a consequence of Statement A:

equation

Statement E is true:

equation