Question

Which of the following number line represents the solution of inequation:
$-x>1,\text{where}x\text{is an integer}$?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Given: $-x>1$

Rule: If both the sides of an inequation are multiplied or divided by the same negative number, then the sign of the inequality will get reversed.
On dividing the above inequation by -1, we get

$\Rightarrow \frac{-x}{-1}<\frac{1}{-1}$

$\Rightarrow x<-1$

Since, $x$ is an integer, therefore $x=-2,-3,-4,...$

The solution can be represented on the number line as follows: