Question

If $x>3$ is represented on number line as
then $x-4>$ 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 D

Given, $x>3$

We require the number line representation for $x-4$
Subtract 4 from both sides
$\to x-4>3-4$
$\to x-4>-1$
There will be a open circle on $-1$ as value of $x-4$ is not equal to $-1$.

Arrow will head towards right to the number line because $x-4$ is greater than $-1$.

We can see on the number line, possible values of $x-4$ are greater than $-1$.
$\therefore x-4>-1$

Hence, option (d.) is the correct choice.