5. Graph the given system of linear inequalities on the coordinate plane below. (2 points)sy <-3x - 4< 21-15NA11 2 3 4 5 6
7-7 -6 -5 4-3-2-11-2-34-567.6. Give two ordered pairs that are solutions and two that are not solutions to the system of linear inequalitiesyou graphed above. (2 points)
1 answer:
ANSWERS
(5) Graph:
(6) Solutions: (-1, -5) and (-2, -7)
Not solutions: (1, 1) and (-4, -3)
EXPLANATION
(5) To graph this system, first, we have to graph each of the inequalities. Both are linear, so we have to graph each line with a dashed line - this is because they are "less than" the line, so the line is not included, and shade the area below each of them.
The first inequality is y < -3x-4,
The second inequality is y < 2x - 1,
The graph of the system is the area shared by both graphs,
(6) Any point that is inside the shaded area is a solution of the system. For example, points (-1, -5) and (-2,-7) are solutions to the system.
On the other hand, any point outside that area, or on the dashed lines is not a solution. For example, points (1, 1) and (-4, -3) are not solutions
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The question has missing details
The m<em>issing options are: </em>
<em>A. 188,000 square yards </em>
<em>B. 138,000 square yards </em>
<em>C. 600 square yards </em>
<em>D. 300 square yards</em>
<em>See attachment 1 for the missing diagram</em>
Answer:
<em>B. 138,000 square yards </em>
Step-by-step explanation:
The figure can be divided into two shapes (see attachment 2)
From attachment 2,
The dimension of the big rectangle is 1300ft by 800ft
The dimension of the small rectangle is 500ft by 400ft
So, the area is:
Area of the big rectangle added to the area of the small rectangle
i.e.
Convert to by dividing by 9
<em>From the list of given options, the closest to the area of the diagram is </em>
<em>B. 138,000 square yards </em>
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