Question

How do you graph the inequality \[x<1\]?

Answer 1

Hint: In this problem, we have to graph the given inequality \[x<1\]. We know that the inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size. To graph the given inequality, we will draw a vertical line at 1 on the horizontal axis. The line will be a dashed line because the inequality operator does not contain an ‘equal to’ clause.

Complete step by step answer:
We know that the given inequality is \[x<1\].
Now we can graph the inequality.
We can draw a vertical line at the point 1 on the x-axis, the line will be a dashed line as it is an inequality operator.
We will shade to the left side of the line because the inequality operator contains a less than symbol.
Now we can draw the graph.

Here, the line will be a dashed line because the inequality operator does not contain an equal to clause.

Note: We should know about inequalities and understand the basic concepts of inequalities to solve these types of problems. In this problem, we have given the less than symbol in \[x<1\], where the left side of 1 should be shaded. If we have the greater than symbol, then the graph should be shaded to the right side of the point