Q31. - Algebra 2

Question

Graph all points on the coordinate plane to the left of the graph of $x=2$and write an inequality to describe these points

Step-by-Step Solution

Answer

The graph of the inequality is

The inequality is $x<2$

Step-1 &ndash; Apply the concept of plotting graph.

Here we have to represent the points to the left of the equation$x=2$

Which means we have to plot all the coordinates which abscissa is less than $2$

The inequality which represents the all points to the left of $x=2$ is$x<2$

Step-2 &ndash; Plot the graph of the given function

The graph can be plot in inequality and it is shown in form of area under the shaded region as follows:

Step-3 &ndash; Describe the points which satisfy the inequality

Consider boundary here is of graph $x=2$Here the inequality sign is less than since, the boundary is dashed.

Let the origin point $\left(0,0\right)$

On substituting the value

$\begin{array}{l}x<2\\ 0<2\end{array}$

Thus, the inequality is true and it satisfy the inequality Therefore, all points lying to the left of the dashed boundary satisfies the inequality.