Question

How do you graph the inequality x>4?

Answer 1

Hint: In the above-given equation we need to represent the inequality in graphical format. Here we have to show what happens when x is greater than 4. The main approach to solving this is to mark the x-axis greater than point 4 on the number line.

Complete step by step answer:
Given the inequality is \[x > 4\]
This inequality is graphed on a number line since it has only one variable in it i.e., the x-axis.
There are many inequality symbols and > here states the greater than sign.
Below in the number line we plot .\[x > 4\].

So, in the above number line the point doesn’t start exactly at 4 it starts after 4. The reason is the inequality states it should be greater than 4 but not equal to 4. That is why x is strictly greater than 4. So
4 is not included but 4.1 can be included in the solution.
There is a way to represent that 4 is not in the solution but \[4.00001\]
 is the solution. It can be represented using an open circle as shown above.
This open circle on point 4 shows that 4 is not a part of the solution but the point ahead of it counts under the solution.

Note:
An important thing to note is that in such questions whenever a number is not included always use an open circle. Do not use a closed circle, because we use a close circle or shaded circle when the number has to be included i.e., \[x \geqslant 4\]