Give the negation of each of the following statements.
It is not true that the set of prime numbers is finite.

Answer

To find the negation of the statement "It is not true that the set of prime numbers is finite," we will follow these steps:

### Step 1: Identify the Original Statement
The original statement is: "It is not true that the set of prime numbers is finite."

### Step 2: Rewrite the Statement
We can rewrite the statement in a simpler form. The phrase "It is not true that" can be interpreted as a negation. Therefore, we can rewrite it as:
"The set of prime numbers is not finite."

### Step 3: Determine the Negation
To find the negation of the statement "The set of prime numbers is not finite," we need to express the opposite of this statement. The opposite of "not finite" is "finite." Thus, the negation is:
"The set of prime numbers is finite."

### Final Answer
The negation of the statement "It is not true that the set of prime numbers is finite" is:
"The set of prime numbers is finite."

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