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Chapter 1: Q13. (page 56)

Find a counterexample for each conditional statement.

If a number y is multiplied by 13,then 13y<y.

Short Answer

Expert verified

A counterexample is 鈥淚f a number is multiplied by 13, then 13y>y, where y<0鈥�.

Step by step solution

01

Step 1. Given.

If a number yis multiplied by 13, then 13y<y.

02

Step 2. To find.

We have to find a counter-example for the condition 鈥淚f a number yis multiplied by 13, then 13y<y.鈥�

03

Step 3. Calculation.

The given statement is 鈥淚f a number yis multiplied by 13, then 13y<y鈥�.

To get a counterexample we will define other conclusions than 13y<y. We can define one counterexample that: 鈥渋f a number is multiplied by 13, then 13y>y, where y<0鈥�.

That means 13y>y is not necessarily true.

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