The solution of the equation x+2=2 was not possible in the set of natural numbers so it was extended to form?

A.

Set of real numbers

B.

Set of whole numbers

C.

Set of integers

D.

Set of rational numbers

Answer: Option B

Explanation:

Whole numbers are positive numbers, including zero, without any decimal or fractional parts. They are numbers that represent whole things without pieces. The set of whole numbers is represented mathematically by the set: {0, 1, 2, 3, 4, 5...}.

The negative integers were introduced because the following equation was not satisfied by the set of whole numbers?

A.

x + 2 = 2

B.

x + 4 = 2

C.

x + 2 = 4

D.

x + 4 = 4

Answer: Option B

Explanation:

x + 4 = 2

=> x = 2 - 4

=> x = -2

So -2 is negative value which is not belong to Whole numbers.

Whole numbers are positive numbers, including zero, without any decimal or fractional parts. They are numbers that represent whole things without pieces. The set of whole numbers is represented mathematically by the set: {0, 1, 2, 3, 4, 5...}.

Solution of the equation of the type 2x = 3 leads to the invention of?

A.

Set of integers

B.

Set of negative numbers

C.

Set of rational numbers

D.

Set of irrational numbers

Answer: Option C

Explanation:

2x = 3

=> 2x = 3

=> x = 3/2

The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.