Advertisements
Advertisements
Question
If x and y are integers such that x2 > y2, then x3 > y3.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
Given: Integer x and y
For an integer x and y as (– 1) and (– 2) respectively.
x2 > y2 ⇒ (– 2)2 > (– 1)2 = 4 > 1 (true)
And x3 > y3 ⇒ (– 2)3 > (– 1)3 = – 8 > – 1 (not true)
As – 8 < – 1
APPEARS IN
RELATED QUESTIONS
Find the square of the given number.
35
Which of the following number square of even number?
1296
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
54
Find the square of the following number:
265
Find the square of the following number:
405
Find the square of the following number:
745
The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is ______.
The hypotenuse of a right triangle with its legs of lengths 3x × 4x is ______.
All numbers of a pythagorean triplet are odd.
Find the length of the side of a square if the length of its diagonal is 10 cm.
