Master Quantity Comparison (Q1 vs Q2). Solve two independent quantities and compare them ($>, <, =, \ge, \le$). Covers Quadratic, Arithmetic, and Geometry.
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<li><strong>The Core:</strong> You are given two quantities, <strong>Quantity I</strong> and <strong>Quantity II</strong>. You must find their values and compare them.</li>
<li><strong>Options Standard:</strong>
<br>A) Quantity I > Quantity II
<br>B) Quantity I < Quantity II
<br>C) Quantity I тЙе Quantity II
<br>D) Quantity I тЙд Quantity II
<br>E) Quantity I = Quantity II or No Relation
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<li><strong>Strategy:</strong> Do NOT estimate unless gap is huge. Calculate exact values. If Q1 depends on a variable range (e.g., $x^2=4 o x=pm2$), test ALL cases against Q2.</li>
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Example:
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<li><strong>Sign Method:</strong> Use sign of constants to predict root signs. (+,+) roots < (-,+) roots? No, verify values.</li>
<li><strong>Range Comparison:</strong> If Q1 is an interval [a, b] and Q2 is [c, d], compare endpoints. Overlap usually means 'No Relation'.</li>
<li><strong>Common Trap:</strong> $sqrt{x^2} = |x|$ (always +ve), but if $x^2=16$, $x=pm 4$. Watch out for these definitions.</li>
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