Maths-
General
Easy

Question

State the law of logic that is illustrated.
If 𝑥 + 2 = 4, then 𝑥 = 2.
If 𝑥 = 2, then 𝑥2  = 4.
If 𝑥+2=4, then 𝑥2 = 4

hintHint:

Law of Syllogism states that:
Law of Syllogism states that:
1) if p not stretchy rightwards arrow q is true
2) If q not stretchy rightwards arrow r is true
then we can conclude that p  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 𝑥 + 2 = 4, then 𝑥 = 2, If 𝑥 = 2, then 𝑥2  = 4 and If 𝑥+2=4, then 𝑥2=4. So if we take
    p: 𝑥 + 2 = 4
    q: 𝑥 = 2
    r: 𝑥2  = 4
    So can write the given statement “If 𝑥 + 2 = 4, then 𝑥 = 2” as p  q and the statement “If 𝑥 = 2, then 𝑥2  = 4” can be written as q  r and also the statement “If 𝑥+2=4, then 𝑥2 = 4” can be written as p  r.
    So we can see that we are given: p not 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 q not stretchy rightwards arrow  r is true then we can conclude that p  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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