Question

The common region represented by the inequalities x + y ≤ 5, x + 2y ≥ 4, 4x + y ≤ 12, x ≥ 0, y ≥ 0 is

a.Square

b.A quadrilateral

c.A triangle

d.Pentagon

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Answer 1

$\huge\boxed{Answer}$

We draw the graphs of the lines x + 2y = 8 and 2x + y = 8 The inequality (1) and (2) represent the region below the two lines including the point on the respective lines

Since x≥0,y≥0 every point in the shaded region in the first quadrant represent a solution of the given system of inequalities

solution