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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 Hint:

Law of Detachment states that if p $not stretchy rightwards arrow$ 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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