The inequality in the graph is y > -2x + 2
How to write the inequality:
Remember that the general linear equation in slope-intercept form is:
y = ax + b
Where a is the slope and b is the y-intercept. In the graph we can see that the y-intercept is y = 2, so:
y = ax + 2
The line also passes through (1, 0), then:
0 = a*1 + 2
-2 = a
The line is:
y = -2x + 2
And we can see that this is a dashed line, and the shaded region is above, then the inequality is:
y > -2x + 2