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If X < Y and Y = Z, which of the following is true?

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Question: If X < Y and Y = Z, which of the following is true?

Options:

  1. X < Z
  2. Z < X
  3. Y < X
  4. X = Y

Correct Answer: X < Z

Solution: 

Since Y = Z, and X < Y, it follows that X < Z.

If X < Y and Y = Z, which of the following is true?

Practice Questions

Q1
If X < Y and Y = Z, which of the following is true?
  1. X < Z
  2. Z < X
  3. Y < X
  4. X = Y

Questions & Step-by-Step Solutions

If X < Y and Y = Z, which of the following is true?
  • Step 1: Understand the symbols. 'X < Y' means X is less than Y.
  • Step 2: Note that 'Y = Z' means Y and Z are equal.
  • Step 3: Since Y is equal to Z, we can replace Y with Z in the first statement.
  • Step 4: Rewrite the first statement using Z: 'X < Z'.
  • Step 5: Conclude that if X is less than Y and Y is equal to Z, then X is also less than Z.
  • Inequalities – Understanding the relationship between numbers using inequalities.
  • Transitive Property – If A < B and B = C, then A < C.
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