Question

Which of the following systems of linear inequalities is represented by the solutions graphed below

Answer 1

Case: Inequality graphs

Method:

From the graph,

The broken line on -1 represents:

`y>-1`

This is because the solutions are above (greater than) -1.

The thick line describes a negative slope graph ie. y =-x.

But the inequality represented is:

`y\leq-x`

This is because the solutions lie on and below y = -x

Final answer: Option (D)

`y>-1\text{ }and\text{ }y\leq-x`