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1.  

In each question two equations I and II are given. Solve both and choose: A) x > y, B) x < y, C) x ≥ y, D) x ≤ y, E) x = y or the relation cannot be established.

I. x² − 13x + 42 = 0 II. y² − 9y + 20 = 0

Correct Answer: A [x > y]

Explanation:

I: x = 6, 7. II: y = 4, 5.

2.  
I. x² + 11x + 24 = 0 II. y² − 2y − 8 = 0

Correct Answer: B [x < y]

Explanation:

I: x = −8, −3. II: y = −2, 4.

3.  
I. x² − 9x + 14 = 0 II. y² + y − 6 = 0

Correct Answer: C [x ≥ y]

Explanation:

I: x = 2, 7. II: y = −3, 2.

4.  
I. x² + 10x + 24 = 0 II. y² + 5y + 4 = 0

Correct Answer: D [x ≤ y]

Explanation:

I: x = −6, −4. II: y = −4, −1.

5.  
I. x² − 12x + 27 = 0 II. y² − 10y + 24 = 0

Correct Answer: E [x = y or the relation cannot be established]

Explanation:

I: x = 3, 9. II: y = 4, 6.

6.  
I. x² + 4x − 21 = 0 II. y² − 6y + 5 = 0

Correct Answer: E [x = y or the relation cannot be established]

Explanation:

I: x = −7, 3. II: y = 1, 5.

7.  
I. 2x² − 7x + 3 = 0 II. 3y² + 7y + 2 = 0

Correct Answer: A [x > y]

Explanation:

I: x = 1/2, 3. II: y = −2, −1/3.

8.  
I. 4x² − 16x + 15 = 0 II. y² − 7y + 12 = 0

Correct Answer: B [x < y]

Explanation:

I: x = 3/2, 5/2. II: y = 3, 4.

9.  
I. x² − 13x + 40 = 0 II. y² − 4y − 5 = 0

Correct Answer: C [x ≥ y]

Explanation:

I: x = 5, 8. II: y = −1, 5.

10.  
I. 2x² − 7x − 4 = 0 II. y² − 10y + 24 = 0

Correct Answer: D [x ≤ y]

Explanation:

I: x = −1/2, 4. II: y = 4, 6.

11.  
I. x² − 8x + 16 = 0 II. y² − 8y + 15 = 0

Correct Answer: E [x = y or the relation cannot be established]

Explanation:

I: x = 4. II: y = 3, 5. 4 > 3 but 4 < 5.

12.  
I. x² − 20x + 99 = 0 II. y² − 15y + 56 = 0

Correct Answer: A [x > y]

Explanation:

I: x = 9, 11. II: y = 7, 8.

13.  
I. 2x² + 7x + 6 = 0 II. 3y² + y − 2 = 0

Correct Answer: B [x < y]

Explanation:

I: x = −2, −3/2. II: y = −1, 2/3.

14.  
I. x² − 16x + 60 = 0 II. 2y² − 13y + 6 = 0

Correct Answer: C [x ≥ y]

Explanation:

I: x = 6, 10. II: y = 1/2, 6.

15.  
I. 3x² − 5x + 2 = 0 II. y² − 4y + 3 = 0

Correct Answer: D [x ≤ y]

Explanation:

I: x = 2/3, 1. II: y = 1, 3.

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