Select the correct answer from each drop-down menu. a quadrilateral has vertices a(11, -7), b(9, -4), c(11, -1), and d(13, -4). quadrilateral abcd is a . if the vertex c(11, -1) were shifted to the point c′(11, 1), quadrilateral abc′d would be a .

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is