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Coding Inequalities - Beginner Level: symbolic inequalities BEGINNER

Ready to master coding inequalities? This concept mastery features 20 beginner-level challenges. Worksheet 2 of 30 sharpens your symbolic inequalities skills. Master symbolic inequalities, code-based comparison, inequality codes through guided practice. Perfect for entry-level test preparation.

📝 Worksheet 2 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Coding Inequalities
Worksheet 2 of 30 (6% complete)

Question 1

Directions: ♦ = >, ♠ = <, ♥ = =, ♣ = >=, ◊ = <=, ★ = != Statement: H ♠ A ♥ D ♦ F Conclusions: I. H > F II. A < D Which of the following is true?
Decoded statement: H < A = D > F

Pattern: A < B = C > D
A < D cannot be determined, B = C is true

Therefore, II only is correct.
complex, mixed

Question 2

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statements: D + G, Y ! E Conclusions: I. D > Y II. G < E Which of the following is true?
Decoded statements: D < G, Y != E

Since the statements involve different variables with no connecting links, no definite relationship can be established between D and Y or between G and E.

Therefore, Neither I nor II is correct.
multiple, analysis

Question 3

Directions: Δ = >, ∇ = <, ◌ = =, □ = >=, ○ = <=, ☆ = != Statement: T Δ B ∇ H Conclusions: I. T > H II. T ≤ H Which of the following is true?
Decoded statement: T > B < H

Since the conclusions are complementary (one is the exact opposite of the other), exactly one of them must be true. Therefore, either I or II follows.
boolean, logic, complementary

Question 4

Directions: ♦ = >, ♠ = <, ♥ = =, ♣ = >=, ◊ = <=, ★ = != Statement: U ♠ Q ♦ S ♥ C Conclusions: I. U > C II. Q < S Which of the following is true?
Decoded statement: U < Q > S = C

Pattern: A < B > C = D
A < D cannot be determined, B > C is true

Therefore, II only is correct.
complex, mixed

Question 5

Directions: Δ = >, ∇ = <, ◌ = =, □ = >=, ○ = <=, ☆ = != Statement: A Δ X ∇ H Conclusions: I. A = H II. A ≠ H Which of the following is true?
Decoded statement: A > X < H

Since the conclusions are complementary (one is the exact opposite of the other), exactly one of them must be true. Therefore, either I or II follows.
boolean, logic, complementary

Question 6

Directions: Δ = >, ∇ = <, ◌ = =, □ = >=, ○ = <=, ☆ = != Statement: E Δ B ∇ P Conclusions: I. E > P II. E ≤ P Which of the following is true?
Decoded statement: E > B < P

Since the conclusions are complementary (one is the exact opposite of the other), exactly one of them must be true. Therefore, either I or II follows.
boolean, logic, complementary

Question 7

Directions: ♦ = >, ♠ = <, ♥ = =, ♣ = >=, ◊ = <=, ★ = != Statement: R ♦ X ♥ Y ♠ U Conclusions: I. X < Y II. R > U Which of the following is true?
Decoded statement: R > X = Y < U

Pattern: A > B = C < D
A > D cannot be determined, B = C is true

Therefore, I only is correct.
complex, mixed

Question 8

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: B → Q → Y → E → F Conclusions: I. B > Y II. Y < F Which of the following is true?
Decoded statement: B > Q > Y > E > F

Chain: A > B > C > D > E
B > Y follows by transitivity, Y < F does not follow

Therefore, I only is correct.
transitive, logic

Question 9

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: Z → C ↔ Q ← D → Y Conclusions: I. Z > Q II. Q < Y Which of the following is true?
Decoded statement: Z > C = Q < D > Y

Chain: A > B = C < D > E
Z > Q follows (A > B = C), Q < Y does not follow

Therefore, I only is correct.
transitive, logic

Question 10

Directions: Δ = >, ∇ = <, ◌ = =, □ = >=, ○ = <=, ☆ = != Statement: A Δ G ∇ F Conclusions: I. A ≤ F II. A > F Which of the following is true?
Decoded statement: A > G < F

Since the conclusions are complementary (one is the exact opposite of the other), exactly one of them must be true. Therefore, either I or II follows.
boolean, logic, complementary

Question 11

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: H → F → E → Y → C Conclusions: I. H > E II. E < C Which of the following is true?
Decoded statement: H > F > E > Y > C

Chain: A > B > C > D > E
H > E follows by transitivity, E < C does not follow

Therefore, I only is correct.
transitive, logic

Question 12

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

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

Therefore, Neither I nor II is correct.
chain, sequence

Question 13

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

Conclusion I (U = T): Does not follow
Conclusion II (U > T): Does not follow

Therefore, Neither I nor II is correct.
basic, symbols

Question 14

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: G → E → B ← S ↔ U Conclusions: I. G > B II. B < U Which of the following is true?
Decoded statement: G > E > B < S = U

Chain: A > B > C < D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.
transitive, logic

Question 15

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: Q → B → Y → H → R Conclusions: I. Q > Y II. Y < R Which of the following is true?
Decoded statement: Q > B > Y > H > R

Chain: A > B > C > D > E
Q > Y follows by transitivity, Y < R does not follow

Therefore, I only is correct.
transitive, logic

Question 16

Directions: Δ = >, ∇ = <, ◌ = =, □ = >=, ○ = <=, ☆ = != Statement: V Δ S ∇ T Conclusions: I. V < T II. V ≥ T Which of the following is true?
Decoded statement: V > S < T

Since the conclusions are complementary (one is the exact opposite of the other), exactly one of them must be true. Therefore, either I or II follows.
boolean, logic, complementary

Question 17

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statements: V - Z, G ! D Conclusions: I. V > G II. Z < D Which of the following is true?
Decoded statements: V >= Z, G != D

Since the statements involve different variables with no connecting links, no definite relationship can be established between V and G or between Z and D.

Therefore, Neither I nor II is correct.
multiple, analysis

Question 18

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

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

Therefore, II only is correct.
chain, sequence

Question 19

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

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

Therefore, II only is correct.
basic, symbols

Question 20

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: U ← R ↔ F → G ← X Conclusions: I. U < F II. F > X Which of the following is true?
Decoded statement: U < R = F > G < X

Chain: A < B = C > D < E
U < F does not follow, F > X follows (C > D < E not transitive)

Therefore, II only is correct.
transitive, logic
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