A student tabulates the values of
x^2 + 5x +6 for several values of x.

Based on the values in the table, the student concludes that for any real value of x,
x^2 + 5x + 12 is non-negative.

A. Explain whether the student's conclusion is based on inductive or deductive reasoning.

B. Use a counter-example to show that the student’s conclusion is false.