Question

Choose the correct Set-builder representation of the interval $[-5,9)$.

• A. $\{p:p\in R,-5\le p\le 9\}$
• B. $\{p:p\in R,-5\le p<9\}$
• C. $\{p:p\in R,-5<p\le 9\}$
• D. $\{p:p\in R,-5<p<9\}$

Answer 1

The correct option is B $\{p:p\in R,-5\le p<9\}$

$-5$ has closed interval next to it while $9$ has open interval hence, $-5$ is included in the interval while $9$ is not included in the interval. So, the correct answer is $\{p:p\in R,-5\le p<9\}$.