57. Amal’s teacher assigned each student in class to draw a trapezoid using a segment of the line y = x as one side. The interior of Amal’s trapezoid is shown shaded in the standard (x, y) coordinate plane below. The equations of the lines that intersect to form the trapezoid are also shown.

The next part of the assignment was to reflect the trapezoid across the x-axis and write a set of inequalities defining the reflected trapezoid and its interior. Which of the following sets of inequalities should Amal have written?

Answer and Explanation

Your Answer is

Correct Answer is B

Explanation

Make a symmetrical shape of this trapezoid about the x-axis. It can be seen from observation that x<10 remains unchanged, and the other two inequalities become -5-x. Therefore, B is selected.