If x and y are two rational numbers such that x > y, then x - y is always a positive rational number. Is the given statement true or false

Solution:

Given x, y are two rational numbers such that x > y

We know that if a number is greater than the other then their subtraction gives positive result

Therefore, x - y is always a positive rational number

The given statement is true.

✦ Try This: If x and y are two rational numbers such that x < y, then x - y is always a negative rational number.

Given x, y are two rational numbers such that x < y

We know that if a number is less than the other then their subtraction gives negative result

Therefore, x - y is always a negative rational number

The given statement is true.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 93

If x and y are two rational numbers such that x > y, then x - y is always a positive rational number. Is the given statement true or false

Summary:

If x and y are two rational numbers such that x > y, then x - y is always a positive rational number

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