Can you speak in English? State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 25 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Can you speak in English?

SOLUTION

It is an interrogative sentence. Hence, it is not a statement.

If a + b < 7, where a ≥ 0 and b ≥ 0 then a < 7 and b < 7. State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 24 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

If a + b < 7, where a ≥ 0 and b ≥ 0 then a < 7 and b < 7.

SOLUTION

It is a statement which is true. Hence, it’s truth value is T.

It may rain today. State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 23 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

It may rain today.

SOLUTION

It is an open sentence. Hence, it is not a statement.

Bring the motor car here. State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 22 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Bring the motor car here.

SOLUTION

It is an imperative sentence. Hence, it is not a statement.

Give me a compass box. State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 21 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Give me a compass box.

SOLUTION

It is an imperative sentence. Hence, it is not a statement.

The number of arrangements of 7 girls in a row for a photograph is 7!. State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 20 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

The number of arrangements of 7 girls in a row for a photograph is 7!.

SOLUTION

It is a statement which is true. Hence, it’s truth value is T.

Two co-planar lines are either parallel or intersecting. State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 19 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Two co-planar lines are either parallel or intersecting.

SOLUTION

It is a statement which is true. Hence, it’s truth value is T.

The number 2 is the only even prime number. State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 18 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

The number 2 is the only even prime number.

SOLUTION

It is a statement which is true. Hence, it’s truth value is T.

x2 - y2 = (x + y)(x - y) for all x, y ∈ R. State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 17 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

x2 - y2 = (x + y)(x - y) for all x, y ∈ R.

SOLUTION

It is a statement which is true. Hence, it’s truth value is T.

The number π is an irrational number. State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 16 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

The number π is an irrational number.

SOLUTION

It is a statement which is true. Hence, it’s truth value is T.

3 + 5 > 11 State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 15 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

3 + 5 > 11

SOLUTION

It is a statement which is false. Hence, it’s truth value is F.

1 ! = 0 State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 14 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

1 ! = 0

SOLUTION

It is a statement which is false. Hence, it’s truth value is F.