Describe how to graph the solution of y ≤ −x2 + 2x.

Inequalities are used to represent unequal expressions.

The solution to the inequality is:

The inequality is given as:

The first step is to split the inequality as follows:

Next, plot the graphs of the inequalities

i.e. the graphs of and (see attachment for the graph)

Lastly, select the point or points of intersection of the graphs of and

From the attached graph, the points of intersection of and are:

Hence, the solution to the inequality is:

Read more about graphs of inequalities at:

link

We are given a inequality as:

        (    The roots are:  -x(x-2)=0

          x=0 and x=2 are the roots of the parabola)

        (This could be checked by taking different points)

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step-by-step explanation: