Write the following as intervals :
(i) ${x : x ϵ R, 4 < x \leq 6}$
(ii) ${x : x ϵ R, - 12 < x < - 10}$
(iii) ${x : x ϵ R, 0 \leq x < 7}$
(iv) ${x : x ϵ R, 3 \leq x \leq 4}$

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Solution

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

(ii) ${x : x ϵ R, - 12 < x < - 10} = (- 12, - 10)$
(iii) ${x : x ϵ R, 0 \leq x < 7} = [0, 7)$
(iv) ${x : x ϵ R, 3 \leq x \leq 4} = [3, 4]$

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