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If A is greater than B and B is greater than C, which of the following is true?

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Question: If A is greater than B and B is greater than C, which of the following is true?

Options:

  1. A is less than C
  2. A is equal to C
  3. A is greater than C
  4. C is greater than A

Correct Answer: A is greater than C

Solution: 

If A is greater than B and B is greater than C, then A must be greater than C.

If A is greater than B and B is greater than C, which of the following is true?

Practice Questions

Q1
If A is greater than B and B is greater than C, which of the following is true?
  1. A is less than C
  2. A is equal to C
  3. A is greater than C
  4. C is greater than A

Questions & Step-by-Step Solutions

If A is greater than B and B is greater than C, which of the following is true?
  • Step 1: Understand the symbols. 'A > B' means A is greater than B.
  • Step 2: Understand the second part. 'B > C' means B is greater than C.
  • Step 3: Combine the information. Since A is greater than B and B is greater than C, we can compare A and C.
  • Step 4: Use the transitive property of inequalities. If A is greater than B and B is greater than C, then A must also be greater than C.
  • Step 5: Conclude that A > C is true.
  • Transitive Property of Inequality – If A > B and B > C, then it follows that A > C.
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