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Chapter 2: Q32. (page 98)

Graph all points on the coordinate plane to the below the graph of y=3x-5and write an inequality to describe these points

Short Answer

Expert verified

The graph of the inequality is

The inequality is y<3x-5

Step by step solution

01

Step-1 – Apply the concept of plotting graph

Here we have to represent the regions below the graph of the equationy=3x-5

The region which is below the graph of the equation will be

y<3x-5

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 y<3x-5Here the inequalitysign is less than since, the boundary is dashed.

Let the origin point 0,0

On substituting the value

y<3x鈭�50<30鈭�50<鈭�5

Thus, the inequality is not true and it does not satisfy the inequality Therefore, shaded region not containing the point0,0all point lying below the dashed boundary satisfies the inequality.

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