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If A < B and B ≤ C, which of the following is true?

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Question: If A < B and B ≤ C, which of the following is true?

Options:

  1. A < C
  2. C < A
  3. B < A
  4. C = B

Correct Answer: A < C

Solution: 

Since A < B and B ≤ C, it follows that A < C.

If A < B and B ≤ C, which of the following is true?

Practice Questions

Q1
If A < B and B ≤ C, which of the following is true?
  1. A < C
  2. C < A
  3. B < A
  4. C = B

Questions & Step-by-Step Solutions

If A < B and B ≤ C, which of the following is true?
  • Step 1: Understand the symbols. A < B means A is less than B. B ≤ C means B is less than or equal to C.
  • Step 2: Since A is less than B (A < B), we know A is smaller than B.
  • Step 3: Since B is less than or equal to C (B ≤ C), we know B is either smaller than C or equal to C.
  • Step 4: If A is less than B and B is less than or equal to C, then A must also be less than C.
  • Step 5: Therefore, we conclude that A < C is true.
  • Inequalities – Understanding the relationships between numbers using inequality symbols (<, ≤) and how they can be combined.
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