If A -1-2-4- B -2-4-5 and C -2-5- write A - C - B - C -

We have, A = 1, 2, 4, B = 2, 4, 5 and C = 2, 5 ∴ A C = {1, 2, 4} {2, 5} = {1, 4} and, B C = 2, 4, 5 2 5 = 4 Now, (A C) × (B C) = {1, 4}×{4}{(1, 4), (4, ...

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Byju's Answer

Standard XII

Mathematics

Cartesian Product

If A =1,2,4, ...

Question

If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write $(A - C) \times (B - C) .$

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Solution

We have,

A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}

$∴ A - C = {1, 2, 4} - {2, 5} = {1, 4}$

and, B - C = {2, 4, 5} - {2 5} = {4}

Now, $(A - C) \times (B - C) = {1, 4} \times {4} {(1, 4), (4, 4)}$

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Similar questions

Q. If

A = {1, 2, 4}, B = {2, 4, 5}

and

C = {2, 5}

, then

(A - B) \times (B - C) =

A = {1, 2, 4}, B = {2, 4, 5}, C = {2, 5},

then

(A - B) \cup (B - C)

Q. If

A = {1, 2, 4}, B = {2, 4, 5}, C = {2, 5}

then

(A - C) \times (B - C)

If A = {1, 2, 4}, B = {2, 4, 5} C = {2, 5}, then $(A - B) \times (B - C)$ is

Q. If A = {1, 2, 4}, B = {2, 4, 5}, C = {2, 5}, then (A − B) × (B − C) is

(a) {(1, 2), (1, 5), (2, 5)}
(b) [(1, 4)]
(c) (1, 4)
(d) none of these

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If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write (A−C)×(B−C).

We have, A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5} ∴A−C={1,2,4}−{2,5}={1,4} and, B - C = {2, 4, 5} - {2 5} = {4} Now, (A−C)×(B−C)={1,4}×{4}{(1,4),(4,4)}

If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write $(A - C) \times (B - C) .$

We have,

A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}

$∴ A - C = {1, 2, 4} - {2, 5} = {1, 4}$

and, B - C = {2, 4, 5} - {2 5} = {4}

Now, $(A - C) \times (B - C) = {1, 4} \times {4} {(1, 4), (4, 4)}$