For rational numbers x and y, if x < y then x - y is a positive rational number. Is the given statement true or false

Solution:

Let the numbers, x, y be 2, 3 such than x < y

Then x - y = 2 - 3 = -1 which is negative

Hence, the given statement that x-y is a positive rational number is false.

✦ Try This: For rational numbers x and y, if x > y then x - y is a positive rational number.

Let the numbers, x, y be 4, 3 such than x > y

Then x - y = 4 - 3 = 1 which is positive

Hence, the given statement is true.

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

NCERT Exemplar Class 8 Maths Chapter 1 Problem 74

For rational numbers x and y, if x < y then x - y is a positive rational number. Is the given statement true or false

Summary:

For rational numbers x and y, if x < y then x - y is a positive rational number. This statement is false

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