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Chain Inequalities - Absolute-Beginner Level: core concept mastery Chain Inequalities ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Chain Inequalities - a key topic in Coding Inequalities. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master chain inequalities problems, chain inequalities reasoning questions, and chain inequalities practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Chain Inequalities
Worksheet 1 of 10 (0% complete)

Question 1

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: V * F F + U U / X Conclusions: I. F > U II. F < U Which of the following is true?
Decoded statement: V > F F < U U <= X

Conclusion I (F > U): Does not follow
Conclusion II (F < U): Does not follow

Therefore, Neither I nor II is correct.

Question 2

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: A / E E * D D = Z Z - H Conclusions: I. A > H II. A < H Which of the following is true?
Decoded statement: A <= E E > D D = Z Z >= H

Conclusion I (A > H): Does not follow
Conclusion II (A < H): Does not follow

Therefore, Neither I nor II is correct.

Question 3

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: D * E E - Y Y = F Conclusions: I. D ≥ F II. D ≤ F Which of the following is true?
Decoded statement: D > E E >= Y Y = F

Conclusion I (D ≥ F): Does not follow
Conclusion II (D ≤ F): Does not follow

Therefore, Neither I nor II is correct.

Question 4

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: W % V V # R R $ Y Y % Q Conclusions: I. V > Y II. V < Y Which of the following is true?
Decoded statement: W >= V V < R R = Y Y >= Q

Conclusion I (V > Y): Does not follow
Conclusion II (V < Y): Does not follow

Therefore, Neither I nor II is correct.

Question 5

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: T + A A = Z Z - W Conclusions: I. T = W II. T ≠ W Which of the following is true?
Decoded statement: T < A A = Z Z >= W

Conclusion I (T = W): Does not follow
Conclusion II (T ≠ W): Follows

Therefore, II only is correct.

Question 6

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: Y # U U @ E E # H H $ P Conclusions: I. Y = P II. Y ≠ P Which of the following is true?
Decoded statement: Y < U U > E E < H H = P

Conclusion I (Y = P): Does not follow
Conclusion II (Y ≠ P): Follows

Therefore, II only is correct.

Question 7

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: V = W W - B B + Q Conclusions: I. V > Q II. V < Q Which of the following is true?
Decoded statement: V = W W >= B B < Q

Conclusion I (V > Q): Does not follow
Conclusion II (V < Q): Does not follow

Therefore, Neither I nor II is correct.

Question 8

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: T $ V V @ F F % X X # E Conclusions: I. V > X II. V < X Which of the following is true?
Decoded statement: T = V V > F F >= X X < E

Conclusion I (V > X): Follows
Conclusion II (V < X): Does not follow

Therefore, I only is correct.

Question 9

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: G * E E = R R - U U * V Conclusions: I. G = V II. G ≠ V Which of the following is true?
Decoded statement: G > E E = R R >= U U > V

Conclusion I (G = V): Does not follow
Conclusion II (G ≠ V): Follows

Therefore, II only is correct.

Question 10

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: X / U U + T T + E E * R Conclusions: I. X ≥ R II. X ≤ R Which of the following is true?
Decoded statement: X <= U U < T T < E E > R

Conclusion I (X ≥ R): Does not follow
Conclusion II (X ≤ R): Does not follow

Therefore, Neither I nor II is correct.

Question 11

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: Y = P P / X X * E Conclusions: I. Y > E II. Y < E Which of the following is true?
Decoded statement: Y = P P <= X X > E

Conclusion I (Y > E): Does not follow
Conclusion II (Y < E): Does not follow

Therefore, Neither I nor II is correct.

Question 12

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: S - C C * H H + U U * E Conclusions: I. S > E II. S < E Which of the following is true?
Decoded statement: S >= C C > H H < U U > E

Conclusion I (S > E): Does not follow
Conclusion II (S < E): Does not follow

Therefore, Neither I nor II is correct.

Question 13

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: C % A A $ T T @ P P @ V Conclusions: I. C ≥ V II. C ≤ V Which of the following is true?
Decoded statement: C >= A A = T T > P P > V

Conclusion I (C ≥ V): Does not follow
Conclusion II (C ≤ V): Does not follow

Therefore, Neither I nor II is correct.

Question 14

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: F / W W - H H = Q Q + D Conclusions: I. F = D II. F ≠ D Which of the following is true?
Decoded statement: F <= W W >= H H = Q Q < D

Conclusion I (F = D): Does not follow
Conclusion II (F ≠ D): Follows

Therefore, II only is correct.

Question 15

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: Z - R R - U U * G Conclusions: I. R > U II. R < U Which of the following is true?
Decoded statement: Z >= R R >= U U > G

Conclusion I (R > U): Follows
Conclusion II (R < U): Does not follow

Therefore, I only is correct.

Question 16

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: U # D D @ C C % A A $ P Conclusions: I. U = P II. U ≠ P Which of the following is true?
Decoded statement: U < D D > C C >= A A = P

Conclusion I (U = P): Does not follow
Conclusion II (U ≠ P): Follows

Therefore, II only is correct.

Question 17

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: P # Z Z % Q Q @ Y Conclusions: I. P ≥ Y II. P ≤ Y Which of the following is true?
Decoded statement: P < Z Z >= Q Q > Y

Conclusion I (P ≥ Y): Does not follow
Conclusion II (P ≤ Y): Does not follow

Therefore, Neither I nor II is correct.

Question 18

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: P - G G * S S / D D + Q Conclusions: I. P ≥ Q II. P ≤ Q Which of the following is true?
Decoded statement: P >= G G > S S <= D D < Q

Conclusion I (P ≥ Q): Does not follow
Conclusion II (P ≤ Q): Does not follow

Therefore, Neither I nor II is correct.

Question 19

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: D @ R R @ W W # B B % H Conclusions: I. R > B II. R < B Which of the following is true?
Decoded statement: D > R R > W W < B B >= H

Conclusion I (R > B): Does not follow
Conclusion II (R < B): Does not follow

Therefore, Neither I nor II is correct.

Question 20

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: Y - C C / V V = A A + P Conclusions: I. Y ≥ P II. Y ≤ P Which of the following is true?
Decoded statement: Y >= C C <= V V = A A < P

Conclusion I (Y ≥ P): Does not follow
Conclusion II (Y ≤ P): Does not follow

Therefore, Neither I nor II is correct.
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