Select inductive reasoning, deductive reasoning, or neither. if 5x + 7 = 12, then x = 1.

Explanation:

Deductive reasoning is the logic process of drawing a conclusion applying a general rule to a specific case.

To solve the equation 5x + 7 = 12 you apply this:

Rule                                                        application      

Subtraction property of equality          5x = 12 - 7

Simplification                                         5x = 5

Division property of equality                 x = 5/5

Simplification                                          x = 1.

Thus, by using the general rules to the specific equation, you ge the result x = 1, which shows that this is a case of deductive reasoning.

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