Question

у 5 4+ 3- 2 1 1- х -5 -4 -3 -2 2 3 MA 4 5 -2- -3 -47 -5 5 Find the inequality represented by the graph.

Answer 1

First, we have to find the equation of the dotted line.

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

The line passes through the points (0,2) and (2, 3), then its slope is:

`m=(3-2)/(2-0)=(1)/(2)`

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

Since the line intersects the y-axis at (0,2), b = 2. Then the equation of the line is:

y = 1/2x + 2

Given that the shaded region is above the dotted line, the inequality is:

y > 1/2x + 2