This graph shows the solution to which inequality?

The graph of the solution of an inequality is given .

The graph represents the inequality is

Option B

Given :

The graph of an inequality. To find the inequality for the given graph we use linear equation

where m is the slope and b is the y intercept

To find out slope , pick two points from the graph

(-3,-1) and (3,3)

Now we find out y intercept b

The point where the graph crosses y axis is the y intercept

The graph crosses y axis at 1

so y intercept b=1

The linear equation for the given graph is

Now we frame the inequality . we use test point that lies inside shaded region

Lets take (4,5)

The inequality for the given graph is

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B. y > 2/3x + 1

Step-by-step explanation:

To find slope we'll use the following formula,

(-3,-1) (3,3)

3 - -1 = 4

3 - -3 = 6

2/3x

The y intercept is 1,

we know this because that's the point the line touches the y axis.

Thus,

the answer is B. y > 1/3x + 1.

Hope this helps :)

step-by-step explanation:

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