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What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequalities?


What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequalities?


y ≥ 1

x ≥ 1

y ≤ 4

x ≤ 6

Verified Answer :

Hagrid

y ≥ 1 is a vertical line passing through y = 1 and including the points above the line
x ≥ 1 a horizontal line passing through x = 1 and including the points to the right of that line
y ≤ 4 a vertical line passing through y = 4 and including the points below the  line
x ≤ 6 a horizontal line passing through y = 6 and including the points to the left right of that line

The polygon that is obtained by graphing the given system of inequalities is a rectangle.

The area of the polygon bounded by the inequalities is
A = LW = 3 (2) = 6 sqr units

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