If x and y are integers such that x² > y², then x³ > y³. State whether the statement is true or false.

Solution:

Given, if x and y are integers such that x² > y², then x³ > y³.

We have to determine if the given statement is true or false.

Example: Consider x = -2 and y = 1

x² = (-2)² = 4

y² = (1)² = 1

4 > 1

Therefore, x² > y²

x³ = (-2)³ = -8

y³ = (1)³ =1

1 > -8

Therefore, x³ < y³

Therefore, if x² > y² then x³ < y³

✦ Try This: If a and c are integers such that a² < c², then a³ < c³. State whether the statement is true or false

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 68

If x and y are integers such that x² > y², then x³ > y³. State whether the statement is true or false

Summary:

The given statement, ”If x and y are integers such that x² > y², then x³ > y³” is false.

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