Write the dual statement of the following compound statement. A number is a real number and the square of the number is non-negative.

EXERCISE 1.7Q 2.4   PAGE 17

Exercise 1.7 | Q 2.4 | Page 17

Write the dual statement of the following compound statement.

A number is a real number and the square of the number is non-negative.

SOLUTION

A number is a real number or the square of the number is non-negative.

Write the dual statement of the following compound statement. Radha and Sushmita cannot read Urdu.

EXERCISE 1.7Q 2.3   PAGE 17

Exercise 1.7 | Q 2.3 | Page 17

Write the dual statement of the following compound statement.

Radha and Sushmita cannot read Urdu.

SOLUTION

Radha or Sushmita cannot read Urdu.

Write the dual statement of the following compound statement. Karina is very good or everybody likes her.

EXERCISE 1.7Q 2.2   PAGE 17

Exercise 1.7 | Q 2.2 | Page 17

Write the dual statement of the following compound statement.

Karina is very good or everybody likes her.

SOLUTION

Karina is very good and everybody likes her.

Write the dual statement of the following compound statement. 13 is a prime number and India is a democratic country.

EXERCISE 1.7Q 2.1   PAGE 17

Exercise 1.7 | Q 2.1 | Page 17

Write the dual statement of the following compound statement.

13 is a prime number and India is a democratic country.

SOLUTION

13 is a prime number or India is a democratic country.

Write the dual of the following: ~(p ∧ q) ≡ ~ p ∨ ~ q

EXERCISE 1.7Q 1.4   PAGE 17

Exercise 1.7 | Q 1.4 | Page 17

Write the dual of the following:

~(p ∧ q) ≡ ~ p ∨ ~ q

SOLUTION

~(p ∨ q) ≡ ~ p ∧ ~ q

Write the dual of the following: p ∨ (q ∨ r) ≡ (p ∨ q) ∨ r

EXERCISE 1.7Q 1.3   PAGE 17

Exercise 1.7 | Q 1.3 | Page 17

Write the dual of the following:

p ∨ (q ∨ r) ≡ (p ∨ q) ∨ r

SOLUTION

p ∧ (q ∧ r) ≡ (p ∧ q) ∧ r

Write the dual of the following: ~(p ∨ q) ∧ [p ∨ ~ (q ∧ ~ r)]

EXERCISE 1.7Q 1.2   PAGE 17

Exercise 1.7 | Q 1.2 | Page 17

Write the dual of the following:

~(p ∨ q) ∧ [p ∨ ~ (q ∧ ~ r)]

SOLUTION

~(p ∧ q) ∨ [p ∧ ~ (q ∨ ~ r)]

Write the dual of the following: (p ∨ q) ∨ r

EXERCISE 1.7Q 1.1   PAGE 17

Exercise 1.7 | Q 1.1 | Page 17

Write the dual of the following:

(p ∨ q) ∨ r

SOLUTION

(p ∧ q) ∧ r