Question

Write an inequality represented by the graph.

Short answer

The inequality of the graph is $x\le 6$.

Step-by-step solution

Step -1 - Apply the concept of Linear inequalities

Here, use the concept of understanding the graph carefully and also keep some rules in mind that when in real line, there will be two sign closed and unclosed circle number or interval which means if closed then that number is also taken or inclusion and if it is unclosed which means the number is exclusion or not taken.

Step -2 – Find the inequality by explaining the graph

Since, in the graph it is seen that there is a closed interval in $6$ and the line goes left from the $6$ and goes up to infinity. So, close interval means to include that number in the inequality.

Step- 3 – Conclusion to form inequality

Let x be the representing equation of the graph.

So, from the statement of the above step, the inequality of the graph is

$x\le 6$.