Write each of the following subsets of R as an interval-i A - x - x - R -3- x - 5ii B - x - x - R -5- x -1iii C-x- x - R-2 - x-0iv D - x - x - R -1 - x - 4Find the length of each of the above intervals

We have (i) A ={ x:xϵ R, 3 lt; x ≤ 5 }. Length (A)=5 ( 3)=8 (ii) B ={ x:xϵ R, 5 lt; x ≤ 1 }. Length (B)= 1 ( 5)=4 (iii) C ={ x:xϵ R, 2 ≤ x lt;0 ...

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Write each of the following subsets of R as an interval:
$(i) A = {x : x ϵ R, - 3 < x \leq 5}$

$(i i) B = {x : x ϵ R, - 5 < x \leq - 1}$

$(i i i) C = {x : x ϵ R, - 2 \leq x < 0}$

$(i v) D = {x : x ϵ R, - 1 \leq x \leq 4}$

Find the length of each of the above intervals

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(i) {x : x \in R, - 4 < x \leq 6}

(i i) {x : x \in R, - 12 < x < - 10}

(i i i) {x : x \in R, 0 \leq x < 7}

(i v) {x : x \in R, 3 \leq x \leq 4}

Given:

$A = {x : 11 x - 5 > 7 x + 3, x \in R}$ and

$B = {x : 18 x - 9 \geq 15 + 12 x, x \in R}$ .

Find the range of set $A \cap B$ .

Let $A = {x : x \in R, | x | < 1}$ ;
$B = {x : x \in R, | x - 1 | \geq 1}$ and

$A \cup B = R - D$ , then the set $D$ is

A = {x : x \in R, | x | < 1}

B = {x : x \in R, | x - 1 | \geq 1}

A \cup B = R - D

D

Let A = { x : x ∈ R, |x| < 1}; B = {x : x ∈ R, |x-1| ≥ 1} and

A ∪ B = R - D, then the set D is

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