Question

Enter an inequality that represents the graph in the box.

Answer 1

The inequality that represents the graph in the box  is

$y>-3x+6$

Given :

The graph of the linear inequality

Lets pick two points from the graph to frame the linear equation

Slope intercept form of the equation is

$y=mx+b$

Where m is the slope and b is the y intercept

y intercept is (0,6) from the graph

so b=6

Now we find out slope m  using formula

Pick two points (0,6) and (2,0)

$slope = \frac{y_2-y_1}{x_2-x_1} \\m=\frac{0-6}{2-0} =-3$

m=-3

So the equation is $y=-3x+6$

Now we check the inequality sign by testing any point on shaded area

lets pick (4,0)

lets plug in 4 for x  and 0 for y

$y=-3x+6\\0=-3(4)+6\\\\0=-6\\0>-6$

The inequality for the given graph is

$y>-3x+6$

we cannot use >= sign because we have dotted lines

Learn more : brainly.com/question/17203372