Question

Which system of inequalities is represented by the graph?

A. y<or equal to 3x
y> -2x-1

B. y> 3x
y < or equal to -2x -1

C. y< -3x
y > or equal to 2x -1

D. y > - 3x
y < or equal to 2x -1 ​

Answer 1

Option A.
`y\leq 3x`,
`y>-2x-1`

Explanation:

we know that

Inequality of the solid blue line

The solution is the shaded area below the solid blue line

The slope of the blue line is positive

The equation of the solid blue line is
`y=3x`

so

The equation of the inequality is equal to

`y\leq 3x`

Inequality of the dashed red line

The solution is the shaded area above the dashed red line

The slope of the dashed red line is negative

The equation of the dashed line is
`y=-2x-1`

so

The equation of the inequality is equal to

`y>-2x-1`