Chapter SR30, Problem 4P

Solution

Use the Venn diagrams you drew in Exercises 1-3 to decide if the statement is true or false. Explain your reasoning.

True.

Given:

The only factor of 10 less than 11 that are not odd are 2 and 10.

Concept used:

• A Venn diagram uses shapes to show how sets are related.

Calculation:

As given the only factor of 10 less than 11that are not odd are 2 and 10.

Factors of 10 = 1, 2, 5, 10

  

In Venn diagram A shows- multiple of 10.

In Venn diagram B shows- odd numbers.

Odd factor of 10 = 1, 5

Even factor of 10 = 2, 5

So the only factor of 10 less than 11that are not odd are 2 and 10 is true.