Q:

which system of inequalities is represented by the graph? A. y<or equal to 3x y> -2x-1B. y> 3x y < or equal to -2x -1C. y< -3x y > or equal to 2x -1D. y > - 3x y < or equal to 2x -1 ​

Accepted Solution

A:
Answer:Option A. [tex]y\leq 3x[/tex], [tex]y>-2x-1[/tex]Step-by-step explanation:we know thatInequality of the solid blue lineThe solution is the shaded area below the solid blue lineThe slope of the blue line is positiveThe equation of the solid blue line is [tex]y=3x[/tex]soThe equation of the inequality is equal to[tex]y\leq 3x[/tex]Inequality of the dashed red lineThe solution is the shaded area above the dashed red lineThe slope of the dashed red line is negativeThe equation of the dashed line is [tex]y=-2x-1[/tex]soThe equation of the inequality is equal to[tex]y>-2x-1[/tex]