Maths-
General
Easy

Question

Make a valid conclusion in the situation.
If you have more than $1000, then you can buy a music system.
You have $1200.

The correct answer is: Hence we can conclude that we can buy a music system.


    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.
    Solution
    Consider the statement into two separate statements
    p: You have more than $1000
    q: You can buy a music system
    So we can write the given statement “If you have more than $1000, then you can buy a music system” as:
    not stretchy rightwards arrowq
    We are given that we have $1200 and $1200 > $1000 so we can say that the p statement is true and hence we can conclude that the q statement is also true i.e we can buy a music system.
    Final Answer:
    Hence we can conclude that we can buy a music system.

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