Question

Which of the following systems of linear inequalities is represented by the

solution graphed below?

Answer 1

Option: D is the correct answer.

D. y<2 and y≥x

Explanation:

The graph of the system of linear inequalities are two lines:

1)

The first is a solid line which passes through (0,0) , (1,1)

i.e. the equation of the line is: y=x

and the inequality will be a inequality with a equality sign ( since the line is solid ) and the shaded region is above the line .

Hence, the inequality is: y≥x

2)

The second line is a dotted line.

This means that the inequality is strict.

Also, the line is a horizontal line parallel to the x-axis and the line pass through (0,2) and the shaded region is below the line.

Hence, the inequality is given by:

y<2

Answer 2

Option D is correct.

Explanation:

Option D is correct.

y < 2 and y >= x

Because the dotted line shows that y < 2 and y >=x is shown is represented by diagonal line.