Question
Assuming the first statement as p and second as q, write the following statements in symbolic form:
(i) The Sun has set and Moon has risen.
(ii) Mona likes Mathematics and Physics.
(iii) 3 is a prime number if 3 is a perfect square number.
(iv) Kavita is brilliant and brave.
(v) If Kiran drives a car, then Sameer will walk.
(vi) The necessary condition for the existence of a tangent to the curve of the function is continuity.
(vii) To be brave is necessary and sufficient condition to climb Mount Everest.

Answer

1.Let p : The Sun has set.
q : Moon has risen.
Then the symbolic form of the given statement is p ∧ q.
2.Let p : Mona likes Mathematics.
q : Mona likes Physics.
Then the symbolic form of the given statement is p ∧ q.
3.Let p : 3 be a prime number.
q : 3 is a perfect square number.
Then the symbolic form of the given statement is p ↔ q.
4.Let p : Kavita is brilliant.
q : Kavita is brave.
Then the symbolic form of the given statement is p ∧ q.
5.Let p : Kiran drives a car.
q : Sameet will walk.
Then the symbolic form of the given statement is p → q.
6. The given statement can be written as:
‘If the function is continuous, then the tangent to the curve exists.’
Let p : The function is continuous.
q : Tangent to the curve exists.
Then the symbolic form of the given statement is p → q.
7. Let p : To be brave.
q : Climb Mount Everest.
Then the symbolic form of the given statement is p ↔ q.

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