Is x 5 (2) x^2 + x < 5

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Last Updated on May 11, 2023

GMAT OFFICIAL GUIDE DS –

Solution:

We need to determine whether x < 5.

Statement One Alone:

x^2 > 5

If x = 3, then x is less than 5. However, if x = 6, then x is not less than 5. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

x^2 + x < 5

Thus, we have x < 5 – x^2. Since x^2 is nonnegative, we have 5 – x^2 ≤ 5. Since x < 5 – x^2 and 5 – x^2 ≤ 5, we have x < 5.

Answer: B

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