Question

Consider that x=1.5 and y=3. Which statement is true about x + y A the sum of x and y is a rational number

B the sum of x and y is an imaginary number
C the sum of x and y is an irrational number
D the sum of x and y is neither rational not irrational

Answer 1

the correct answer is A

Answer 2

Answer: The correct option is

(A) the sum of x and y is a rational number

Step-by-step explanation: We are given to consider that x = 1.5 and y = 3.

We are to select the statement that is true about the sum x + y.

To select the correct statement, we first find the value of the sum x + y.

We have

`x+y=1.5+3=4.5.`

So, the value of the sum is 4.5. It is a real number.

We know that a real number is

(i) rational, if the digits after the decimal are either terminating or repeating,

(ii) irrational, if the digits after the decimal are neither repeating nor terminating.

The sum 4.5 has terminating digits after the decimal, so it is a rational number.

Thus, the sum of x and y is a rational number.

Option (A) is CORRECT.