Question

Write the following intervals in set-builder form:
$\left(i\right)(-3,0)\left(ii\right)[6,12]$
$\left(iii\right)(6,12]\left(iv\right)[-23,5)$

Answer 1

$\left(i\right)$ Given: $(-3,0)$
In set-builder form,
$(-3,0)=\{x:x\in R,-3<x<0\}$

$\left(ii\right)$ Given: $[6,12]$
In set-builder form,
$[6,12]=\{x:x\in R,6\le x\le 12\}$

$\left(iii\right)$ Given: $(6,12]$
In set-builder form,
$(6,12]=\{x:x\in R,6<x\le 12\}$

$\left(iv\right)$ Given: $[-23,5)$
In set-builder form,
$[-23,5)=\{x:x\in R,-23\le x<5\}$