Question

a system of inequalities, where x is the rate of a spaceship in a video game and y is where the ship travels on the screen in 3.5 seconds, is represented by the graph. which symbol could be written in both circles in order to represent this system algebraically? y o 3x x o -2 o ≤ o ≥ o < o >

Explanation:

Step1: Analyze the line \(x=- 2\)

The region to the right of the vertical line \(x = - 2\) is shaded. For a vertical line \(x = a\), if the region to the right is shaded, the inequality is \(x\geq a\). Here \(a=-2\), so \(x\geq - 2\).

Step2: Analyze the line \(y = 3x\)

The line \(y = 3x\) has a slope of 3 and y - intercept of 0. The region above the line \(y = 3x\) is shaded. For a line \(y=mx + b\) (\(m = 3,b = 0\) here), if the region above the line is shaded, the inequality is \(y\geq mx + b\), so \(y\geq3x\).

Answer:

\(\geq\)