Chapter SR30, Problem 9P

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:

If a positive even integer less than 10 is prime, then it is 2.

Concept used:

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

Calculation:

Venn diagram shows prime numbers and even numbers.

Venn diagram of the positive integers less than 10.

  

In Venn diagram A shows- prime number.

In Venn diagram B shows- even numbers.

Prime no. less than 10 = 2,3,5,7

Even Prime no. less than 10 = 2

So, if a positive even integer less than 10 is prime, then it is 2. Correct.

So, True.