Question

What is the system of inequalities for the graph below?

Answer 1

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Answer:

• y ≥ -2x +1
• y ≤ 2x +4

Step-by-step 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

Answer 2

Answer:

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