If A - x - R - x -2 and B - x - R - x -2- - 3 then -A- A - B -1-2- B - A - R -2-5- A - B - R -2-5D- A - B -2-1

A = {x : x ∈ ( 2, 2)} B = {x : x ∈ ( ∞, 1] ∪ [5, ∞)} A ∩ B = {x : x ∈ ( 2, 1] } B A = {x : x ∈ ( ∞, 2] ∪ [5, ∞) } A B = {x : x ∈ ( 1, 2)} A ∪ B = { ...

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Byju's Answer

Standard XII

Mathematics

Ordered Pair

If A = x ∈ R ...

Question

If $A = {x \in R : | x | < 2}$ and $B = {x \in R : | x - 2 | \geq 3}$ then :

A - B = [- 1, 2]

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B - A = R - (- 2, 5)

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A \cup B = R - (2, 5)

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A \cap B = (- 2, - 1)

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Solution

The correct option is B $B - A = R - (- 2, 5)$
Given: $A = {x \in R : | x | < 2 = - 2 < x < 2}$
$∴ A = {x : x \in (- 2, 2)}$

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If A={x ∈ R:|x|<2} and B={x ∈ R:|x−2|≥3} then :

The correct option is B B−A=R−(−2,5)Given: A={x ∈ R:|x|<2=−2<x<2}∴A={x:x ∈ (−2,2)}

If $A = {x \in R : | x | < 2}$ and $B = {x \in R : | x - 2 | \geq 3}$ then :

The correct option is B $B - A = R - (- 2, 5)$
Given: $A = {x \in R : | x | < 2 = - 2 < x < 2}$
$∴ A = {x : x \in (- 2, 2)}$