Maths-

General

Easy

Question

# State the law of logic that is illustrated.

If 𝑥 > 10, then 𝑥 + 10 > 20.

The value of 𝑥 is 15.

Therefore, 25 > 20.

Hint:

### Law of Detachment states that if p q is true and it is given that p is true then we can conclude that q is also true. Here, the statement is termed as Hypothesis and the statement q is termed as conclusion.

## The correct answer is: Hence, the law of logic which is used in these statements is the law of detachment.

### It is given that: If 𝑥 > 10, then 𝑥 + 10 > 20. So, if we take

p = 𝑥 > 10

q = 𝑥 + 10 > 20

So can write the given statement “If 𝑥 > 10, then 𝑥 + 10 > 20” as p q

We are given that x = 15 and 15 > 10 and therefore, 25 > 20.

So, we can see that it resembles the law of Detachment which states that if p q is true and it is given that p is true then we can conclude that q is also true.

Final Answer:

Hence, the law of logic which is used in these statements is the law of detachment.

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