Official Guide Explanation:
Problem Solving #119

 

 

Background

This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Review (12th ed.). Click the links on the question number, difficulty level, and categories to find explanations for other problems.

These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.

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Solution and Metadata

Question: 119
Page: 169
Difficulty: 5 (Moderate)
Category 1: Algebra > Simplifying Algebraic Expressions >
Category 2: Algebra > Inequalities > other

Explanation: First, simplify each of the inequalities by isolating x.

x + 6 > 10

x > 4

And:

x - 3 ≤ 5

x ≤ 8

Putting them together:

4 < x ≤ 8, choice (D).

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