Chhattisgarh Board Solutions for Exercise 13: Exercise – 2

Use mathematical symbols to write the following statement.

Integers are closed under multiplication.

Use mathematical symbols to write the following statement.

The subtraction of rational numbers is not commutative.

Give the answer on the basis of instructions for the mathematical statement.

Statement: $n^3\ge n$  $"n\in Q$

Write this statement in words.

Give the answer on the basis of instructions for the mathematical statement.

Statement: $n^3\ge n$  $"n\in Q$

Is this statement true?

Give the answer on the basis of instructions for the mathematical statement.

Statement: $n^3\ge n$  $"n\in Q$

For which numbers is the statement true?

Find logical connection in the following statements and write them by using $"="$ sign:

$A :$ All interior angles of a triangle $ABC$ are equal.

$B :$ Triangle $ABC$ is an equilateral triangle.

Find logical connection in the following statement and write by using $"="$ sign:

$A : P\left(a\right)=0$

$B : \left(x-a\right)$ is a factor of the polynomial $P\left(x\right)$

Find logical connection in the following statements and write by using $"="$ sign:

$P : x \text{and} y$ are two odd numbers.

$Q :\left(x+y\right)$ is an even number.