Question

If $x<2$ is represented on number line as
then $x-2<$ is represented as __
Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Given, $x<2$

We require the number line representation for $x-2$
Subtract 2 from both sides
$\to x-2<2-2$
$\to x-2<0$
There will be a open circle on $0$ as value of $x$ - 2 is not equal to $0$.

Arrow will head towards left to the number line because $x-1$ is less than $0$.

We can see on the number line, possible values of $x-2$ are less than $0$.
$\therefore x-2<0$