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Is (-x) a negative number?
(1) 4x2 – 8x > (2x)2 – 7x
(2) x + 2 > 0
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Is (-x) a negative number?(1) 4x2 – 8x > (2x)2 – 7x(2) ...
  1. Evaluate Statement (1) alone.
    1. Simplify the inequality:
      4x2 – 8x > (2x)2 – 7x
      4x2 – 8x > 4x2 – 7x
      -8x > -7x
      -8x + 8x > -7x + 8x
      0 > x
      x < 0
    2. Since X is less than zero, X is a negative number. This means that negative X is a positive number since multiplying a negative number by a negative number (i.e., -1) results in a positive number.
    3. Statement (1) alone is SUFFICIENT.
  2. Evaluate Statement (2) alone.
    1. Simplify the inequality:
      x + 2 > 0
      x > - 2
    2. Since we cannot be sure whether X is negative (e.g., -1) or positive (e.g., 2), we cannot be sure whether negative X is positive or negative.
    3. Statement (2) alone is NOT SUFFICIENT.
  3. Since Statement (1) alone is SUFFICIENT and Statement (2) alone is NOT SUFFICIENT, answer A is correct.
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Most Upvoted Answer
Is (-x) a negative number?(1) 4x2 – 8x > (2x)2 – 7x(2) ...
  1. Evaluate Statement (1) alone.
    1. Simplify the inequality:
      4x2 – 8x > (2x)2 – 7x
      4x2 – 8x > 4x2 – 7x
      -8x > -7x
      -8x + 8x > -7x + 8x
      0 > x
      x < 0
    2. Since X is less than zero, X is a negative number. This means that negative X is a positive number since multiplying a negative number by a negative number (i.e., -1) results in a positive number.
    3. Statement (1) alone is SUFFICIENT.
  2. Evaluate Statement (2) alone.
    1. Simplify the inequality:
      x + 2 > 0
      x > - 2
    2. Since we cannot be sure whether X is negative (e.g., -1) or positive (e.g., 2), we cannot be sure whether negative X is positive or negative.
    3. Statement (2) alone is NOT SUFFICIENT.
  3. Since Statement (1) alone is SUFFICIENT and Statement (2) alone is NOT SUFFICIENT, answer A is correct.
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Is (-x) a negative number?(1) 4x2 – 8x > (2x)2 – 7x(2) x + 2 > 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer?
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Is (-x) a negative number?(1) 4x2 – 8x > (2x)2 – 7x(2) x + 2 > 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Is (-x) a negative number?(1) 4x2 – 8x > (2x)2 – 7x(2) x + 2 > 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is (-x) a negative number?(1) 4x2 – 8x > (2x)2 – 7x(2) x + 2 > 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer?.
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