Question

If $x$ is an integer and the range of $x$ is represented on this number line.Find out the possible value(s) of $x$.

• A. -3
• B. -3.1
• C. 4
• D. 0

Answer 1

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

0


Following observations can be drawn from the number line :
1. As there is close circle at -3, $x$ will be greater than or equal to -3.
This statement can be represented as $-3\le \text{x}$
2. As there is close circle at 4, $x$ will less than or equal to 4.
the above staement can be represented as $\text{x}\le 4$
Hence, value of $x$ lies in between -3 and 4 which is represented as:
$\Rightarrow -3\le x\le 4$
Given,
$\to$$x$ is a integer, which means value of $x$ cannot be fraction or decimal.

Possible values of $x$: -3, -2, -1, 0, 1, 2, 3, 4
If the option is same as values of $x$, it will be accepted.

Option(a): -3
It lies in the possible values of $x$.
$\to$ ACCEPTED

Option(b): -3.1
It do not lies in the possible values of $x$.
$\to$ REJECTED

Option(c): -4
It lies in the possible values of $x$.
$\to$ ACCEPTED

Option(a): 0
It lies in the possible values of $x$.
$\to$ ACCEPTED