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Chapter 2: Q57. (page 80)

Write a counterexample for each conditional statement.

If a number is divisible by 2, then it is divisible by 4

Short Answer

Expert verified

If a number is divisible by 2 then not necessary that it is divisible by 4.

Step by step solution

01

Step 1. Given information.

The given conditional statement is 鈥樷�� If a number is divisible by 2, then it is divisible by 4鈥欌��.

02

Step 2. Concept used.

If a number 6 is divisible by 2 but not divisible by the number 4.

So, it means, it is not always true that if a number is divisible by 2 then it is divisible by the number 4.

03

Step 3. To find the Counterexample of the given statement.

The Counterexample of the given Conditional Statement is 鈥淚f a number is divisible by 2 then not necessary that it is divisible by 4.鈥�

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