Question

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

• A. -4
• B. 0
• C. 1
• D. 4

Answer 1

Answer: (C), (D)

4


Following observations can be drawn from the number line :
1. As there is an open circle at -4 and the line is moving towards the right side, $x$ will be greater than -4 (but not equal to -4).
Hence, $x$ > -4 which can also be written as $-4<x$

2. As there is a closed circle at 4 and the line is moving towards the left side, $x$ will be greater than or equal to 4.
Hence, $x$ ≥ 4
Combining both the inequalities:
$\Rightarrow -4<x\le 4$
Given,
$\to$x is a positive integer, which means value of $x$ can not be negative nor zero.
$\to$ Maximum value of $x$ is 4. So,
Possible values of $x$: 1, 2, 3, 4
Option (c) and (d) are correct.