Question

What system of linear inequalities is shown in the graph?



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Answer 1

y<-3x+1
y≥$\frac{1}{2} x-1$

Answer 2

Answer:

For dotted line y < -3x + 1.

For solid line : y ≥ $\frac{1x}{2}-1$.

Step-by-step explanation:

Given : Graph.

To find: What system of linear inequalities,

Solution: We have given a graph.

We can see the graph having two line one is dotted and another is solid line.

By the slope intercept form of equation :  y = mx + b

Where, m = slope

b ( where the line intercept at y axis) = y intercept.

For dotted line : we use the less than sign for dotted line and shaded down.

We can see slope of dotted line is -3 and it cut at 1 on y axis.

m = -3 , b = 1

Then equation  become

y < -3x + 1.

For solid line :

we use the greater than or equal to sign for solid line and shaded up.

We can see slope of dotted line is 1/2 and it cut at -1 on y axis.

m = -3 , b = 1

Then equation  become

y ≥ $\frac{1x}{2}-1$.

Therefore, For dotted line y < -3x + 1.

For solid line : y ≥ $\frac{1x}{2}-1$.