Jessie works at least 36 hours a week. She works as a math tutor and as a teacher. The number of hours Jessie works as a teacher (y) is at
least twice the number of hours she works as a tutor (x).
Write the set of inequalities that represents the constraints of the
situation and state a point (x, y) that is part of the feasible region.

The feasible region is unbounded which is the shaded portion in the graph.

Step-by-step explanation:

Given that, the number of hours Jessie works as a teacher and tutor is y and x respectively, which can't be negative.

So,

y\ge0\;\cdots(ii)

She works at least 36 hours a week.

She works as a teacher for al least twice the number of hours she works as a tutor.

The boundary of the inequalities from equations (i), (ii), (iii), and (iv) are

and .

The feasible region is the shaded portion which is the unbounded region as shown in the graph. Any point P(x,y) from the feasible region will satisfies all the constraints.

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

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