Respuesta :

u have a solid line...meaning there is an equal sign in the problem
u have a y int of -1 (the y int is where ur line crosses the y axis)
u have a slope of : 1
it is shaded below the line...so it is less then

so ur inequality is : y < = x - 1 <==

First, let's work out the equation of the graph.
We can see that for every 1 in x, the y coordinate increases by 1, which means the gradient is 1. The line intercepts the y axis at -1, meaning the equation of our line is y = x - 1
An inequality in this case basically represents which side of the line we want to be on - do we want the numbers to be greater than the line (i.e. above the y value) or less (i.e. below the y value)?
The shading here shows us they want the value set below the line, i.e. less than it.

Therefore, our inequality is y ≤ x-1
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