Questions: The converse of the given statement is which of the following? If many people are relieved, then high blood pressure is not desirable. If many people are not relieved, then high blood pressure is desirable. If high blood pressure is desirable, then many people are not relieved. High blood pressure is desirable or many people are relieved. The inverse of the given statement is which of the following? High blood pressure is desirable or many people are relieved. If many people are not relieved, then high blood pressure is desirable. If high blood pressure is desirable, then many people are not relieved. If many people are relieved, then high blood pressure is not desirable.

To solve this problem, we need to understand the concepts of converse and inverse in logic.

1. Converse: The converse of a statement "If P, then Q" is "If Q, then P."

2. Inverse: The inverse of a statement "If P, then Q" is "If not P, then not Q."

Given statement: "If many people are relieved, then high blood pressure is not desirable."

Converse: "If high blood pressure is not desirable, then many people are relieved."

Now, let's evaluate the options for the converse:

• Option 1: If many people are not relieved, then high blood pressure is desirable.

  • This is not the converse; it is the inverse of the original statement.

• Option 2: If high blood pressure is desirable, then many people are not relieved.

  • This is not the converse; it is a different statement.

• Option 3: High blood pressure is desirable or many people are relieved.

  • This is not a conditional statement and does not represent the converse.

None of the options provided match the correct converse of the given statement.

Inverse: "If many people are not relieved, then high blood pressure is desirable."

Now, let's evaluate the options for the inverse:

• Option 1: High blood pressure is desirable or many people are relieved.

  • This is not a conditional statement and does not represent the inverse.

• Option 2: If many people are not relieved, then high blood pressure is desirable.

  • This is the correct inverse of the original statement.

• Option 3: If high blood pressure is desirable, then many people are not relieved.

  • This is not the inverse; it is a different statement.

• Option 4: If many people are relieved, then high blood pressure is not desirable.

  • This is the original statement, not the inverse.

The answer for the inverse is the second one: "If many people are not relieved, then high blood pressure is desirable."

In summary:

• The correct converse is not provided in the options.
• The correct inverse is the second option: "If many people are not relieved, then high blood pressure is desirable."