Mr. hernandez plotted the point (1, 1) on han’s graph of y ≤ x + 2. he instructed han to add a second inequality to the graph that would include the solution (1, 1). which equation could miguel write?

The solution set of an inequality is given by the data points with the region

specified by the inequality.

The graph Miguel could write is y ≤ 2·x - 1.

Reasons:

The point Mr. Hernandez plotted = (1, 1)

Han's graph inequality = y ≤ x + 2

Required:

To select the inequality equation that include a solution of (1, 1)

Solution;

The inequality graph will have a solution of (1, 1), includes the point (1, 1) in

the solution set;

The possible options are;

y ≤ 2·x - 1

y ≥ 2·x + 1

y < 2·x - 1

y > 2·x + 1

At x = 1

Therefore;

The graph Miguel could  write is y ≤ 2·x - 1

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