Given the following relationships between the symbols:
Which of the following options is definitely true?
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let's combine the given relationships into a single mathematical chain:
Now let's evaluate each option based on this chain:
*Option A ():** Since and , it directly implies that . This statement is definitely true.
*Option B ():** This contradicts the given condition , so it is false.
*Option C ():** Since is strictly greater than , they cannot be equal. This is false.
*Option D ():** This is the exact opposite of , so it is false.
Therefore, Option A is the only definitely true statement.
Now let's evaluate each option based on this chain:
*Option A ():** Since and , it directly implies that . This statement is definitely true.
*Option B ():** This contradicts the given condition , so it is false.
*Option C ():** Since is strictly greater than , they cannot be equal. This is false.
*Option D ():** This is the exact opposite of , so it is false.
Therefore, Option A is the only definitely true statement.