Inequalities: Worksheet 6 - Intermediate-Advanced Practice Inequalities INTERMEDIATE ADVANCED

Ready to master Inequalities? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve inequalities tricks, handle inequalities shortcut methods, and perfect inequalities bank exam questions with our step-by-step solutions.

📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:

Understand the logic behind inequalities shortcut methods
Learn step-by-step approaches to speed building
Handle multi-step problems systematically
Master complex problem variations and edge cases
Master inequalities tricks through focused practice

Your progress through Inequalities

Worksheet 6 of 10 (55% complete)

Question 1

Question: Is x > y? Statement (1): x² > y² Statement (2): x³ > y³

Statement (1): x² > y² means |x| > |y|, but x could be less than y if both negative - insufficient. Statement (2): x³ > y³ means x > y (cubing preserves inequality) - sufficient.

Question 2

Question: Is xy > 0? Statement (1): x > 0 Statement (2): y > 0

xy > 0 means x and y have same sign. Each alone insufficient, together they are both positive → product positive.

Question 3

Question: Is x > 0? Statement (1): x² > 0 Statement (2): x³ > 0

Statement (1): x² > 0 means x ≠ 0, but x could be positive or negative - insufficient. Statement (2): x³ > 0 means x must be positive - sufficient.

Question 4

Question: Is x > y? Statement (1): x² > y² Statement (2): x³ > y³

Statement (1): x² > y² means |x| > |y|, but x could be less than y if both negative - insufficient. Statement (2): x³ > y³ means x > y (cubing preserves inequality) - sufficient.

Question 5

Question: Is x > 0? Statement (1): x² > 0 Statement (2): x³ > 0

Statement (1): x² > 0 means x ≠ 0, but x could be positive or negative - insufficient. Statement (2): x³ > 0 means x must be positive - sufficient.

Question 6

Question: Is x > y? Statement (1): x² > y² Statement (2): x³ > y³

Statement (1): x² > y² means |x| > |y|, but x could be less than y if both negative - insufficient. Statement (2): x³ > y³ means x > y (cubing preserves inequality) - sufficient.

Question 7

Question: Is x > 0? Statement (1): x² > 0 Statement (2): x³ > 0

Statement (1): x² > 0 means x ≠ 0, but x could be positive or negative - insufficient. Statement (2): x³ > 0 means x must be positive - sufficient.

Question 8

Question: Is x > 0? Statement (1): x² > 0 Statement (2): x³ > 0

Statement (1): x² > 0 means x ≠ 0, but x could be positive or negative - insufficient. Statement (2): x³ > 0 means x must be positive - sufficient.

Question 9

Question: Is xy > 0? Statement (1): x > 0 Statement (2): y > 0

xy > 0 means x and y have same sign. Each alone insufficient, together they are both positive → product positive.

Question 10

Question: Is x > y? Statement (1): x² > y² Statement (2): x³ > y³

Statement (1): x² > y² means |x| > |y|, but x could be less than y if both negative - insufficient. Statement (2): x³ > y³ means x > y (cubing preserves inequality) - sufficient.

Question 11

Question: Is xy > 0? Statement (1): x > 0 Statement (2): y > 0

xy > 0 means x and y have same sign. Each alone insufficient, together they are both positive → product positive.

Question 12

Question: Is x > 0? Statement (1): x² > 0 Statement (2): x³ > 0

Statement (1): x² > 0 means x ≠ 0, but x could be positive or negative - insufficient. Statement (2): x³ > 0 means x must be positive - sufficient.

Question 13

Question: Is x > 0? Statement (1): x² > 0 Statement (2): x³ > 0

Statement (1): x² > 0 means x ≠ 0, but x could be positive or negative - insufficient. Statement (2): x³ > 0 means x must be positive - sufficient.

Question 14

Question: Is xy > 0? Statement (1): x > 0 Statement (2): y > 0

xy > 0 means x and y have same sign. Each alone insufficient, together they are both positive → product positive.

Question 15

Question: Is xy > 0? Statement (1): x > 0 Statement (2): y > 0

xy > 0 means x and y have same sign. Each alone insufficient, together they are both positive → product positive.

Question 16

Question: Is x > 0? Statement (1): x² > 0 Statement (2): x³ > 0

Statement (1): x² > 0 means x ≠ 0, but x could be positive or negative - insufficient. Statement (2): x³ > 0 means x must be positive - sufficient.

Question 17

Question: Is xy > 0? Statement (1): x > 0 Statement (2): y > 0

xy > 0 means x and y have same sign. Each alone insufficient, together they are both positive → product positive.

Question 18

Question: Is xy > 0? Statement (1): x > 0 Statement (2): y > 0

xy > 0 means x and y have same sign. Each alone insufficient, together they are both positive → product positive.

Question 19

Question: Is xy > 0? Statement (1): x > 0 Statement (2): y > 0

xy > 0 means x and y have same sign. Each alone insufficient, together they are both positive → product positive.

Question 20

Question: Is x > y? Statement (1): x² > y² Statement (2): x³ > y³

Statement (1): x² > y² means |x| > |y|, but x could be less than y if both negative - insufficient. Statement (2): x³ > y³ means x > y (cubing preserves inequality) - sufficient.

🏆 Halfway champion! 55% through Inequalities. Keep the momentum!

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