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}

Answer 1

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