Enter an inequality that represents the graph in the box.

Here we want to write the inequality that is represented with the given graph.

The answer is: y ≤ 3x - 1

Let's start by analyzing the graph:

We can see that the boundary is a solid line, and the shaded region is bellow that line, then the inequality will be something like:

y ≤ a*x + b

Then the first thing we need to do is to find the equation of the line.

Remember that if a given line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as.

Looking at the graph we can see that the line passes through the points

(-1, -4) and (1, 2)

Then we have the line y = 3*x + b

To find the value of b, remember that the line should pass through the point (1, 2), then we can replace x = 1 and y = 2 in the above equation:

2 = 3*1 + b

2 = 3 + b

2 - 3 = b = -1

Then the inequality represented is:

y ≤ 3x - 1

If you want to learn more, you can read:

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the naturalist literary movement was an extension of the realist literary movement, a movement that strove to portray life as it really was hope it

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