Maths-
General
Easy

Question

State the law of logic that is illustrated.
If you score more than 75%, then you can go to the beach.
If you go to the beach, then you can surf.
If you score more than 75%. Then you can surf

hintHint:

Law of Syllogism states that:
1) if p  q is true
2) If q  r is true
then we can conclude that p not stretchy rightwards arrow r is also true.

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


    It is given that: If you score more than 75%, then you can go to the beach, If you go to the beach, then you can surf and If you score more than 75%. Then you can surf. So if we take
    p = Score is more than 75%
    q = You can go to the beach
    r = You can surf
    So can write the given statement “If you score more than 75%, then you can go to the beach” as
    pnot stretchy rightwards arrow  q and the statement “If you go to the beach, then you can surf” can be written as q  not stretchy rightwards arrow r and also the statement “If you score more than 75%. Then you can surf” can be written as pnot stretchy rightwards arrow r.
    So we can see that we are given: pnot stretchy rightwards arrow q is true
    not stretchy rightwards arrow  r is true
    not stretchy rightwards arrow  r is true
    This statement resolves the law of syllogism which states that if p not stretchy rightwards arrow q is true and If qnot stretchy rightwards arrow  r is true then we can conclude that p not stretchy rightwards arrow  r is also true
    Final Answer:
    Hence, the law of logic which is used in these statements is the law of syllogism.

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