7
practice examMultiple Choice

Practice Exam

Question 7 • Mathematics I

Which statements are true about the graph of the system of linear inequalities? Choose two correct answers. y is greater than 3 x minus 4 y is less than or equal to 1 half x plus 1

Answer
A
There are no solutions to the system.
B
The graphs of the two inequalities intersect the y -axis at 0 comma 1 and 0 comma 4 .
C
The graph of y is less than or equal to 1 half x plus 1 has shading below a dashed line.
D
The graph of y is greater than 3 x minus 4 has shading above a dashed line.
E
The graphs of the inequalities will intersect.

Explanation

The inequality y > 3x − 4 uses a dashed boundary line because the inequality is strict, and its solutions are shaded above the line, so D is true. The boundary lines have different slopes, 3 and 1/2, so they intersect; in fact, they meet at (2, 2), making E true. The system also has solutions to the left of that intersection, so A is false.

AI-written and checked against the verified answer.

Previous
Next