Question

How do you graph the inequality $x\le 5$ ?

Answer 1

Hint: $x\le 5$ means x should always be less than or equal to 5 , in the Cartesian plane we have marked the region in which the x coordinate of all points should be less than or equal to 5. We should not get one point such that the x coordinate of the point is greater than 5.

Complete step by step answer:
The given inequalities is $x\le 5$
To mark the region $x\le 5$ first we have to draw the graph of x=5 , this graph will be a straight line parallel to Y axis and passes through (5,0)
The right side of graph will be the region where the x coordinate will always greater than 5
And the left side of the straight line and the straight line will be the region where the x coordinate of all point will always less than or equal to 5
So our required region is on the straight line and left of straight line x=5
So let’s draw the region $x\le 5$

We can see the blue region is the graph of inequality $x\le 5$

Note:
Always note the inequality sign whether it is less than or less than equal to for example while drawing the graph of $x<5$ we will exclude all points on the line x=5, at the same time we will include all the points on the line x=5 while drawing the graph of $x\le 5$.