Maths-
General
Easy
Question
Make a valid conclusion in the situation.
If 𝑛 < 5, then (−𝑛) > (−5).
The value of 𝑛 is 3.
The correct answer is: Hence we can conclude that (−3) > (−5).
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.
Solution
Consider the statement into two separate statements
p: 𝑛 < 5
q: (−𝑛) > (−5)
So we can write the given statement “If 𝑛 < 5, then (−𝑛) > (−5)” as:
p q
We are given
n = 3
Here, 3 < 5 so we can say that the p statement is true and hence we can conclude that the q statement is also true i.e (−3) > (−5).
Final Answer:
Hence we can conclude that (−3) > (−5).
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