Question

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

Answer 1

$\left(i\right)$ Given: $\{x:x\in R,-4<x\le 6\}$
$\therefore x\in (-4,6]$

$\left(ii\right)$ Given: $\{x:x\in R,-12<x<-10\}$
$\therefore x\in (-12,-10)$

$\left(iii\right)$ Given: $\{x:x\in R,0\le x<7\}$
$\therefore x\in [0,7)$

$\left(iv\right)$ Given: $\{x:x\in R,3\le x\le 4\}$
$\therefore x\in [3,4]$.