If A - B- 1- 1- 1- 2- 1- 3- 3- 1- 3- 2- 3- 3- 4- 1- 4- 2- 4- 3 then

A contains first elements and B contains second elements of A× B respectively. A = {1, 3, 4} B = {1, 2, 3} ...

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Cartesian Product

If A × B= 1, ...

Question

If $A \times B = {(1, 1), (1, 2), (1, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)}$ then

A = {1, 2, 3}

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B = {2, 3, 4}

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A = {1, 3, 4}

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B = {1, 2, 3}

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Solution

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Similar questions

A \times B = {(1, 1), (1, 2), (1, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)}

⟹

A, B, C

D

A \subseteq B

B \subseteq D

A \subseteq C

State, Whether the following statements are true of false.

(i) If $a < b, t h e n a - c < b - c$

(ii) If $a > b, t h e n a + c > b + c$

(iii) If $a < b, t h e n a c > b c$

(iv) If $a > b, t h e n \frac{a}{c} < \frac{b}{c}$

(v) If $a - c > b - d; t h e n a + d > b + c$

(vi) If $a < b, a n d c > 0, t h e n a - c > b - c where a, b, c and are real numbers and c \neq 0.$

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

(i) If x ∈ A and A ∈ B, then x ∈ B

(ii) If A ⊂ B and B ∈ C, then A ∈ C

(iii) If A ⊂ B and B ⊂ C, then A ⊂ C

(iv) If A ⊄ B and B ⊄ C, then A ⊄ C

(v) If x ∈ A and A ⊄ B, then x ∈ B

(vi) If A ⊂ B and x ∉ B, then x ∉ A

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