Question

Graph the given inequality, $x < 5$.

Answer 1

Hint:Whenever there is an inequality, first arrange the inequality such that the variable is on the left-hand side. Plot the line for the variable equal to the integer on the right-hand side. For y- axis, “greater than” inequality implies a shaded area above the line and below the line for “less than”. For the x-axis,” greater than” implies the shaded area on the right side and on the left side for “less than” inequality.

Complete step by step solution:
As the question has the variable on the left-hand side and the constant on the right-hand side, there is no need to rearrange the inequality. Hence, we can directly start on the formation of the graph. First draw the line for$x = 5$, which would be vertical line passing through (5,0).

Now, x is less than but not equal to 5, so the line will be dotted and the region on the left will be shaded. The shaded region is the graph of the given inequality.

Note: Graphs are often defined as a picture or a diagram that represents the values in an organized manner. It is a set of all the ordered pairs that satisfy the given equation. These are important to reveal trends and patterns in everyday life.