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What is the inequality?

What is the inequality?-example-1

1 Answer

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Answer:


y\leq (1)/(2)x+2

Explanation:

we know that

The solution of the inequality is the shaded area below the solid line (the inequality is of the form
y\leq mx+b)

The y-intercept of the solid line is (0,2)

The x-intercept of the solid line is (-4,0)

The slope of the solid line is


m=(0-2)/(-4-0)=(1)/(2)

The equation of the solid line is
y=(1)/(2)x+2

therefore

The linear inequality represented by the graph is


y\leq (1)/(2)x+2

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