60.4k views
1 vote
What is the system of inequalities for the graph below?

What is the system of inequalities for the graph below?-example-1

2 Answers

4 votes

Answer:

hi do You have Instagram?

User S K
by
4.7k points
3 votes

9514 1404 393

Answer:

  • y ≥ -2x +1
  • y ≤ 2x +4

Explanation:

The downward-sloping line has a y-intercept of 1 and a slope of -2, so its equation is ...

y = -2x +1

The graph is shaded on and above that line, so the inequality it represents is ...

y ≥ -2x +1

__

The upward-sloping line has a y-intercept of +4 and a slope of +2, so its equation is ...

y = 2x +4

The graph is shaded on and below that line, so the inequality it represents is ...

y ≤ 2x +4

Then the system of inequalities is ...

y ≥ -2x +1

y ≤ 2x +4

User Terrick
by
5.1k points