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Write the Contrapositive and Converse of the Following Statements. X Is an Even Number Implies That X Is Divisible by 4 - Mathematics

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Question

Write the contrapositive and converse of the following statements.

x is an even number implies that x is divisible by 4

Solution

The given statement can be written as follows.

If x is an even number, then x is divisible by 4.

The contrapositive is as follows.

If x is not divisible by 4, then x is not an even number.

The converse is as follows.

If x is divisible by 4, then x is an even number.

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Chapter 14: Mathematical Reasoning - Exercise 14.4 [Page 338]

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NCERT Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise 14.4 | Q 2.5 | Page 338

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