If 'X' is greater than 'Y' and 'Y' is less than 'Z', which statement is true?

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Question: If \'X\' is greater than \'Y\' and \'Y\' is less than \'Z\', which statement is true?

Options:

Correct Answer: X is less than Z

Solution:

If \'X\' is greater than \'Y\' and \'Y\' is less than \'Z\', then \'X\' must also be less than \'Z\'.

If 'X' is greater than 'Y' and 'Y' is less than 'Z', which statement is true?

If 'X' is greater than 'Y' and 'Y' is less than 'Z', which statement is true?

Step 1: Understand the relationships given in the question.
Step 2: The first part states 'X is greater than Y'. This means X > Y.
Step 3: The second part states 'Y is less than Z'. This means Y < Z.
Step 4: Since Y is less than Z, we can say that Z is greater than Y (Z > Y).
Step 5: Now we have two relationships: X > Y and Z > Y.
Step 6: If Z is greater than Y and X is greater than Y, we need to compare X and Z.
Step 7: We cannot directly conclude that X is less than Z just from the information given.
Step 8: Therefore, the statement 'X must also be less than Z' is not necessarily true.

Inequalities – Understanding the relationships between numbers based on their comparative values.
Transitive Property – If A > B and B < C, then A < C does not necessarily follow; this tests understanding of transitive relationships.