Master Inequalities - Beginner Level Problems Inequalities BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Inequalities. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing inequalities practice, inequalities for competitive exams, and how to solve inequalities.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:

Master inequalities practice through focused practice
Understand the logic behind inequalities for competitive exams
Learn step-by-step approaches to step-by-step problem solving
Develop systematic problem-solving habits
Strengthen your foundational understanding

Your progress through Inequalities

Worksheet 3 of 10 (22% 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 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 3

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 4

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 5

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 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 > 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 8

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 9

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 10

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 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 > 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 13

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 14

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 15

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 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 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 18

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 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 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.

📝 Continue your Inequalities practice. Worksheet 3 focuses on step-by-step problem solving.

Previous Worksheet Next Worksheet