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SETS AND RELATIONS + FACTORIZATION AND ALGEBRAIC MANIPULATION

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1

What is the square root of (4x² + 12x + 9)?

2

If R = {(x, y) | x ∈ {1, 2}, y ∈ {3, 4}} is a binary relation, which is a valid ordered pair in R?

3

What is the domain of the relation R = {(1,2), (2,3), (3,4)}?

4

What is the square root of (x² - 2x + 1)?

5

Simplify: (x + 3)/(x² + 5x + 6)

6

If A = {a, b, c} and B = {c, d, e}, what is A ∩ B?

7

Simplify: (x² - 2x - 3)/(x² + x - 12) × (x - 3)/(x + 1)

8

If A = {1, 2, 3} and B = {2, 4, 6}, what is A ∩ B?

9

Find the HCF of x² + x - 6 and x² + 4x + 3.

10

If A = {2, 4, 6, 8} and B = {4, 8, 12}, what is A ∪ B?

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