(a)- π is rational number and 22/7 is rational. (b)- π is irrational and 22/7 is irrational
(c)- π is irrational and 22/7 is rational
(d)- π is rational and 22/7 is irrational
Choose the correct option and explain.
Remember: Take 20 point but give me correct answer.

Step-by-step explanation:

π is an irrational number

Reason:-

π is defined as the ratio of the circumference of a circle to the diameter of the circle

⇛π = C/d

The diameter and the Circumference of a circle are incommensurable.i.e.there does not exist a common unit to measure that allows us to measure the both. If you measure accurately then atleast either C and d is irrational. So π is regarded as Irrational number.

The decimal expansion of π is non terminating and non recurring decimal.

22/7 is a rational number

Reason:-

7 ) 22 ( 3.142857142857142...

-21

10

- 7

30

- 28

20

- 14

60

- 56

40

- 35

50

- 49

10

- 7

30

- 28

20

- 14

60

- 56

40

- 35

50

- 49

10

- 7

30

- 28

2

22/7 = 3.142857142857...

It is a non terminating and recurring decimal

it is a rational number.

We know that

The decimal form of a rational number is either terminating or non terminating and recurring decimal.

The value of π is closely nearer to 22/7

π= 3.1415...

π≠22/7

We often take 22/7 as an approximate value of π

Answer: From the above given options option (c) {π is irrational and 22/7 is rational} is your correct statement.

Please let me know if you have any other questions.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0