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.

On a coordinate plane, 2 solid straight lines are shown. The first line is vertical at x = negative 2. Everything to the right of the line is shaded. The second line has a positive slope and goes through (negative 2, negative 6) and (0, 0). Everything to the left of the line is shaded.

Which symbol could be written in both circles in order to represent this system algebraically?

y Circle 3x

x Circle –2

≤
≥
<
>

Answer 1

It's B.

Explanation:

Edge 2020;)

Answer 2

Answer: To represent the system of inequalities algebraically, we need to determine the correct symbols for the two inequalities based on the given information.

The first line is vertical at x = -2, and everything to the right of the line is shaded. This indicates that x is greater than -2.

The second line has a positive slope and goes through (-2, -6) and (0, 0). Everything to the left of the line is shaded. This indicates that y is less than 3x.

Putting both inequalities together, we have:

x > -2

y < 3x

So, the correct symbols to represent the system of inequalities are ">" in the first circle (x > -2) and "<" in the second circle (y < 3x).