Write the following as intervals: (i) {x: x ∈ R, – 4

Question

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}

Philoid · Accepted Answer

(i) Let us assume that A = {x: x ∈ R, – 4 < x ≤ 6}

∴ Set A can be written in the form of intervals as follows:

= (-4, 6]

(ii) Let us assume that A = {x : x ∈ R, – 12 < x < –10}

∴ Set A can be written in the form of intervals as follows:

= (-12, -10)

(iii) Let us assume that A = {x: x ∈ R, 0 ≤ x < 7}

∴ Set A can be written in the form of intervals as follows:

= [0, 7)

(iv) Let us assume that A = {x : x ∈ R, 3 ≤ x ≤ 4}

∴ Set A can be written in the form of intervals as follows:

= [3, 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}

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}