Explain which property, either the Reflexive, Symmetric, Transitive or Substitution, is shown in the following example: (Explaining means just identifying the property is not sufficient - you must explain WHY that is the property you have identified in the given example.)

Question

If: 4x+2=8-2x Then: 8-2x=4x+2

Answer 1

The property demonstrated in this example is the symmetric property. This property states that if a=b, then b=a. In other words, the order of the terms does not affect the equality. In this case, the expression 4x+2=8-2x is equivalent to 8-2x=4x+2 because the terms have been rearranged without changing the equality. This demonstrates the symmetry of the equation, hence is an example of the symmetric property.