Question

Select inductive reasoning, deductive reasoning, or neither.

If 5x + 7 = 12, then x = 1.
A. Inductive reasoning
B. Deductive reasoning
C. neither

Answer 1

Answer: Deductive reasoning

Explanation:

• A logical deduction or deductive reasoning is a technique that is logical in which a result is made up on the bases of the given premises that are usually assumed to be true.

If
`5x + 7 = 12`, then

`\Rightarrow5x = 5\\\\\Rightarrow x=1` which is true.

Hence, the given reasoning is deductive reasoning.

Answer 2

Option (B) deductive reasoning is correct.

Reason

Deductive reasoning

In this process conclusions makes on the basis of previously known facts.

As also in this case

5x + 7 = 12

equation is given and than

we get

x = 1

thus the value of x obtained from the given equation.

Therefore

option (B) Deductive reasoning is the correct .

Hence proved