Find the value of x. The options are 6, 7.1, 12, 3.8

The answer is 12 because it’s a circle and that dot in the middle is the radius. so the radius is 6 which mean the diameter is 2x that making it 12

The linear inequality:
2x - 3y < 12
can be rearranged into the slope-intercept form:
-3y < -2x + 12
y > (2/3) x - 4

The inequality is a strict inequality which means, it is represented by a broken line having the equation y = (2/3) x - 4. Since the inequality sign is >, so the region below the line is shaded.