In a set of integers there exists a definite largest number.

True

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False

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Solution

The correct option is B
False

The set of integers goes from 0 towards both directions on the number line.

In the positive direction , there can be infinite numbers that exist and hence there cannot be any number that is the largest.

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In a set of natural numbers there exists a definite largest number. True or False?

In a set of natural numbers there exists a definite largest number.

State whether the following statements are true or false:

(a) The set of all even natural numbers is a infinite set.

(b) Every non-empty subset of has the smallest element.

(d) For each rational number, one can find the next rational number.

(e)There is no largest rational number.

(f) Every integer is either even or odd.

(g) Between any two rational numbers, there is an integer.

A square matrix A is called Nilpotent if there exists a positive integer m such that $A^{m}$ = I.

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