Question

es?
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

Answer 1

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