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}
(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}
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Answer:
(i) (-4,6]
(ii) (-12, -10)
(iii) [0, 7)
(iv) [3, 4]
Step-by-step explanation:
(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]
JAI SHREE KRISHNA