Question

Match the inequalities with a possible solutions of $i$. Here, $i$ is an integer.

• A. $0$
• B. $-2$
• C. $-5$
• D. $10$

Answer 1

1. $-2<i<1$

This inequality indicates all the numbers that lie between $-2$ and $1$ in a number line but excludes both the numbers.
$\Rightarrow$ From the options $0$ lies in this range.

2. $0<i\le -2$

Here, $i$ lies in the range from $0$ to $-2$, including $-2$.
$\Rightarrow$ Among the given options, $-2$ lies in this range.

3. $-5\le i<-10$

This inequality represents, $i$ lies between $-5$ and $-10$, including $-5$ and excluding $-10$.
$\Rightarrow$ Hence, from the given option $-5$ is a possible number.

4. $5\le i\le 15$

Here, $i$ lies between $5$ and $15$, including 5 and 15 both.
$\Rightarrow$ $i=10$ is a possible number for the given range.