Exercise 1.2 (1)

Express the following statements in symbolic form.

i) e is a vowel or 2 + 3 = 5
Ans: Let p : e is a vowel.
               q : 2 + 3 = 5
         ∴ The Symbolic form is p ∨ q.

ii) Mango is a fruit but potato is a vegetable.
Ans: Let p : Mango is a fruit.    
                q : Potato is a vegetable.
         ∴ The Symbolic form is p ∧ q.

iii) Milk is white or grass is green.
Ans: Let p : Milk is White
                q : Grass is green.
        ∴ The Symbolic form is p ∨ q.

iv) I like playing but not singing.
Ans: Let p : I Like Playing
                q : I do not like singing
       ∴ The Symbolic form is p ∧ q.

v) Even though it is cloudy, it is still raining.
Ans: Let p : It is cloudy.
               q : It is Still Raining.
         ∴ The Symbolic form is p ∧ q.