Write the following as intervals:

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

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

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

(iv) {x : x $\in R, 3 \leq x \leq 4$ }

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Solution

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

It can be written in the form of intervals as (-4, 6].

(ii) Let {x : x $\in R, - 12 < x < - 10$ }

It can be written in the form of interval as $(- 12, - 10) .$

(iii) Let {x : x $\in R, 0 \leq x < 7$ }

It can be written in the form of interval as [0, 7).

(iv) Let {x : x $\in R, 3 \leq x \leq 4$ }

It can be written in the form of interval as [3, 4].

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Similar questions

(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}

Write the following as intervals:

(i) {x: x ∈ R, –4 < x ≤ 6}

(ii) {x: x ∈ R, –12 < x < –10}

(iii) {x: x ∈ R, 0 ≤ x < 7}

(iv) {x: x ∈ R, 3 ≤ x ≤ 4}

{x : x ϵ R, 4 < x \leq 6}

{x : x ϵ R, - 12 < x < - 10}

{x : x ϵ R, 0 \leq x < 7}

{x : x ϵ R, 3 \leq x \leq 4}

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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