Question

Which system of inequalities is represented by the graph?

y ≤ –x
y > –1

y ≥ –x
y < –1

y < –x
y ≥ –1

y > –x
y ≤ –1

Answer 1

on ed is C) y < –x

y ≥ –1

just took the test

Answer 2

`y\leq -1 \text{ and }y<-(1)/(2)x` are system of inequalities is represented by the graph.

Explanation:

We are given four option and need to choose correct inequality for given graph.

In graph, we can see two line

Red line: It is horizontal solid line passing through (0,-1) and shaded region above the line.

Equation of line: y≥-1

Blue line: It is slant dotted line passing through origin and (-2,1)

Equation of line:
`y<-(1)/(2)x`

System of inequalities represented by the graph.

`y\leq -1 \text{ and }y<-(1)/(2)x`

Thus,
`y\leq -1 \text{ and }y<-(1)/(2)x` are system of inequalities is represented by the graph.