If A - x - R - -x- - 2 and B - x - R - -x - 2- - 3 then -

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 XI

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 $B - A = R - (- 2, 5)$
$A = {x : x \in (- 2, 2)}$
$B = {x : x \in (- \infty, - 1] \cup [5, \infty)}$
$A \cap B = {x : x \in (- 2, - 1]}$
$B - A = {x : x \in (- \infty, - 2] \cup [5, \infty)}$
$A - B = {x : x \in (- 1, 2)}$
$A \cup B = {x : x \in (- \infty, 2) \cup [5, \infty)}$

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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)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={x:x ∈(−∞,2)∪[5,∞)}

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