What is the inequality?

Question

asked Oct 26, 2020 148k views

1 Answer

Ferenc · Answer 1 · 2020-11-01T06:35:31+0000

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

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