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.)If: 4x+2=8−2x then: 8−2x=4x+2(2 points)
The property being illustrated in this example is the Symmetric Property. This is because the equation is showing that the left side is equal to the right side and vice versa. This property states that if a = b, then b = a. In this case, the original equation is 4x + 2 = 8 - 2x, and the subsequent equation is 8 - 2x = 4x + 2. This demonstrates symmetry in the equality of the two sides of the equation.
