Aprils guidance counselor says that she needs a combined score of at least on her

college entrance exams to be eligible for the college of her choice.

The highest possible score is to on the math portion and

on the verbal portion.

a.

The inequality is .

Step 1:

The boundary of the graph is the graph of .

Since the inequality symbol is , the boundary line is solid.

is greater than equal to , so the region greater than or equal to is shaded.

Step 2:

Consider a test point as .

The statement is true.

Shade the inequality containing the point .

Since the highest possible score in math portion is , draw the inequality .

Similarly, the highest possible score in verbal portion is ,

draw the inequality in the same coordinate plane.

Graph:

Graph the inequality is .

b.

She scores a on the math portion of the test and on the verbal portion of the test.

Find she will April be eligible for the college of her choice.

Consider a test point as .

The statement is not true. 

The ordered pair is not in the shaded region.

So, April is not eligible for the college of her choice.

a.

Graph of the inequality is .

b.

April is not eligible for the college of her choice.