Very Hard - 705+ Inequalities Problem Solving GMAT Questions
Very Hard - 705+ difficulty Inequalities Problem Solving GMAT practice questions. Every question below links to its own page with the full solution, community comments, and discussion.
Practice Very Hard - 705+ Inequalities Problem Solving questions
Very Hard - 705+ Inequalities Problem Solving questions measure your ability to solve and combine linear inequalities and reason about ranges of values.. Here you'll find 13 free questions in this band — every one shows the correct answer, with full step-by-step solutions available once you sign in for free. Practice in this difficulty range to build speed and accuracy, then move up a tier as your scores improve.
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Are these Inequalities Problem Solving questions free?▾
Yes. All 13 questions in this collection are free to practice. Each question shows the correct answer, and signing up for a free account unlocks the complete step-by-step explanations.
What does Very Hard - 705+ difficulty mean on the GMAT?▾
The 705-805 band maps to the GMAT Focus scoring range. Questions in this band are very hard - 705+ — ideal for building accuracy before you move up to harder tiers.
Latest Community Comments
recent discussion across these questionsTricky one! I initially thought it was just x=6, but then realized the absolute value. The equation means |x-6| = 6 - x, which forces x ≤ 6. So the answer is C. But it's easy to miss the case where x < 6 because then the right side is positive and it works. Good question!
onProblem Solving · Inequalities—If (x-6)^2=6-x, then which of the following must be true?I is straightforward: f(k,k) = k^2 - 1/k >0 since k>1. f(k,-k) = k^2 + 1/k >0. Product positive. III: f(k,1/k) = k^2 - k, f(1/k,k) = 1/k^2 - 1/k. Sum = k^2 + 1/k^2 - (k+1/k). For k>1, is this always >0? Check k=2: 4+0.25-2.5=1.75>0. k=1.1: 1.21+0.826-1.1-0.909=0.027>0. Seems true. So I and III only, answer D.