Write each of the following intervals in the set-builder from:
Question:

Write each of the following intervals in the set-builder from:

(i) $A=(-2,3)$

(ii) $B=[4,10]$

(iii) $C=[-1,8)$

(iv) $D=(4,9]$

(v) $E=[-10,0)$

(vi) $F=(0,5]$

Solution:

(i) $A=\{x: x \in R,-2<x<3\}$

(ii) $B=\{x: x \in R, 4 \leq x \leq 10\}$

(iii) $C=\{x: x \in R,-1 \leq x<8\}$

(iv) $D=\{x: x \in R, 4<x \leq 9\}$

(v) $E=\{x: x \in R,-10 \leq x<0\}$

(vi) $F=\{x: x \in R, 0<x \leq 5\}$