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 vertical line

The vertical line is at \(x = - 2\). The shaded region to the right of the vertical line \(x=-2\) means \(x\geq - 2\).

Step2: Analyze the slanted line

The slanted line has the equation \(y = 3x\). The shaded region above the line \(y = 3x\) means \(y\geq3x\).

Answer:

\(\geq\) (corresponding to the first option \(\geq\) in the multiple - choice list)