Question

What is the inequality?

Answer 1

Answer:

$y\leq \frac{1}{2}x+2$

Step-by-step 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

$m=(0-2)/(-4-0)=\frac{1}{2}$

The equation of the solid line is $y=\frac{1}{2}x+2$

therefore

The linear inequality represented by the graph is

$y\leq \frac{1}{2}x+2$