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If P > Q and Q = R, which of the following is true?

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Question: If P > Q and Q = R, which of the following is true?

Options:

  1. P > R
  2. R < P
  3. Q < P
  4. P = Q

Correct Answer: P > R

Solution: 

Since Q = R and P > Q, it follows that P > R.

If P > Q and Q = R, which of the following is true?

Practice Questions

Q1
If P > Q and Q = R, which of the following is true?
  1. P > R
  2. R < P
  3. Q < P
  4. P = Q

Questions & Step-by-Step Solutions

If P > Q and Q = R, which of the following is true?
  • Step 1: Understand the symbols. P > Q means P is greater than Q.
  • Step 2: Note that Q = R means Q and R are equal.
  • Step 3: Since Q is equal to R, we can replace Q with R in the first statement.
  • Step 4: Therefore, if P > Q and Q = R, we can say P > R.
  • Step 5: Conclude that the statement P > R is true.
  • Inequalities – Understanding the relationship between numbers and how inequalities work.
  • Transitive Property – Using the transitive property of inequalities, which states that if A > B and B = C, then A > C.
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