Inequalities (GMAT Focus Edition – Quantitative Reasoning Content and Tactics) скачать в хорошем качестве

Inequalities (GMAT Focus Edition – Quantitative Reasoning Content and Tactics)

Master inequalities for the GMAT Focus Edition Quantitative Reasoning section. In this lesson, we cover what an inequality is, when to flip the sign with negatives, order of operations (PEMDAS), compound inequalities, and systems of inequalities (add/subtract). You’ll also see test-style examples—including Roman-numeral logic and a word-problem with minimum drivers—plus quick tactics for pacing and avoiding traps. What you’ll learn: Manipulating inequalities safely (when variables may be negative) Splitting & recombining compound inequalities Adding/subtracting systems; aligning directions Data Insights tie-ins & strategy (guess/mark/return) AnalystPrep's GMAT® Focus Course Can Be Found Here: https://analystprep.com/shop/gmat-foc... Book a One-on-One Tutoring Session with Stefan Here: https://analystprep.com/shop/1-on-1-o... Inequalities Defined Indicate Values that are Greater or Lesser Than Another Value Open End of Inequality Sign Faces Larger Value | ie. 5 larger than 3 Used to Relate Known Values or Variables Can be Algebraically Manipulated or Combined in a Similar Manner as Equations if All Values or Variables in Inequality are Known to be larger than 0 If Multiplying or Dividing Inequality by Value less than 0 🡪 Must Flip Inequality Strategic Implications If All Values for Inequality Problem Defined as larger than 0 🡪 Prepare to Manipulate Algebraically Recognize that Inequalities are Not Same as Equations in Considering Sufficiency For Complex Inequalities Consider Alternative Tactics 🡪 Especially Modeling & Logical Evaluation Algebraic Order of Operations First 🡪 Eliminate Fractions or Decimals by Multiplying Full Inequalityby Least Common Denominator or Power of 10 Then 🡪 Work to Efficiently Simplify Inequality Using Four Basic Functions Following PEMDAS Order, Avoiding Negatives as Possible Last 🡪 Eliminate Exponents or Radicals by Appropriately Raising or Rooting Full Equation Remembering to Account for Negative if Needed Solving Inequalities Involving Negatives First 🡪 Manipulate as Much as Possible without Multiplying or Dividing by a Value less than 0 & Remember Possible to Add or Subtract Inequalities by Value less than 0 Without Flipping Inequality Sign Last 🡪 Multiply or Divide Inequality by Value less than 0 and Flip Inequality Sign Time Permitting 🡪 Check Solution Against Original Equation to Confirm Solving Compound Inequalities First 🡪 Split Single Compound Inequality Into as Many Separate Inequalities as Necessary | One for Each Inequality Sign Next 🡪 Seek to Isolate for Sought Value in Each Inequality Last 🡪 Recombine Compound Inequality if Helpful in Solving Problem or Evaluating Data Sufficiency Systems of Inequalities Used to Evaluate Individual Variables or Combinations of Variables Involving Multiple Inequalities Pending Direction of Inequality Signs Two Inequalities with Sign Facing Same Direction Can be Accurately Combined Through Addition Without Any Change to Direction Two Inequalities with Signs in Opposite Directions Can be Accurately Combined Through Subtraction Taking Direction of First Inequality Strategic Implications Only Attempt to Combine Systems of Inequalitiesif Certain of Steps to Complete Combination Seek Methods of Manipulation to FacilitateAddition of Two Inequalities Be Careful When Combining Through Subtraction Adding a System of Inequalities First 🡪 Stack Equations Vertically Aligning Variables and EnsureSame Direction for Signs Then 🡪 Carefully Add Inequalities Keeping Sign Facing Same Direction Last 🡪 Simplify Following Rules of Inequality Manipulation Subtracting a System of Inequalities First 🡪 Stack Equations Vertically Aligning Variables and Ensure Opposing Directions for Signs Then 🡪 Carefully Subtract Inequalities Applying Sign of Subtracted From Inequality to the Resulting Inequality Last 🡪 Simplify Following Rules of Inequality Manipulation #GMATFocus #GMAT #QuantitativeReasoning #Inequalities #GMATMath #DataInsights #Algebra #TestPrep #StudyTips #AnalystPrep #MBA #DataSufficiency #WordProblems #PEMDAS #ExamStrategy