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Chapter 2: Q31. (page 98)

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

Short Answer

Expert verified

The graph of the inequality is

The inequality is x<2

Step by step solution

01

Step-1 – Apply the concept of plotting graph.

Here we have to represent the points to the left of the equationx=2

Which means we have to plot all the coordinates which abscissa is less than2

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

02

Step-2 – 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:

03

Step-3 – Describe the points which satisfy the inequality

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

Let the origin point 0,0

On substituting the value

x<20<2

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

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