Mathematical ReasoningHard
Question
The negation of the statement
″If I become a teacher, then I will open aschool″, is :
″If I become a teacher, then I will open aschool″, is :
Options
A.I will not become a teacher or I will opena school.
B.I will become a teacher and I will not opena school.
C.Either I will not become a teacher or I willnot open a school.
D.Neither I will become a teacher nor I willopen a school.
Solution
Let p : I become a teacher
q : I will open a school
Therefore given statement will be p → qNegation of given statement
~ (P → q) ≡ P
~ q
therefore I will become a teacher and I will notopen a school.
q : I will open a school
Therefore given statement will be p → qNegation of given statement
~ (P → q) ≡ P
~ q therefore I will become a teacher and I will notopen a school.
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