Question

If $x$ is a negative integer and the range of $x$ is represented on the number line.Find out the possibles value(s) of $x$?

• A. -4.0
• B. -5.1
• C. -3.0
• D. -2.0

Answer 1

Answer: (A), (C), (D)

-2.0


Following observations can be drawn from the number line :
1. As there is a closed circle at -5.1 and the line is moving towards the right side, $x$ will be greater than -5.1,
which can also be written as $x\ge -5.1$.

2. As there is an open circle at -1.1 and the line is moving towards the left side, $x$ will be less than -1.1.
Hence, $x\le -1.1$

3. Combining both the inequalities:
$\Rightarrow -5.1\le x\le -1.1$
Given,
$\to$x is a negative integer, which means value of $x$ can not be positive nor zero.
Possible values of $x$: -4.0, -3.0, -2.0
$\therefore$Option (a), (c) and (d) are correct.