Which system of inequalities is represented by the graph?

y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1

Question

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Respuesta :

les43 les43 · Answer 1 · 2018-04-24T05:43:06+02:00

The first 2
Y=<3x
Y>-2x-1

Answer Link

calculista calculista · Answer 2 · 2018-11-09T02:41:57+01:00

Step 1

Find the equation of the inequality A (red line)

The equation of the red line is

[tex]y=-2x-1[/tex] ------> see the x-intercept of the graph [tex](-0.5,0)[/tex]

The solution of the inequality A is the shaded area above the red dotted line

so

the equation of the inequality A is

[tex]y>-2x-1[/tex]

Step 2

Find the equation of the inequality B (blue line)

The equation of the blue line is

[tex]y=3x[/tex] ------> see the graph, the slope is positive

The solution of the inequality B is the shaded area below the blue solid line

so

the equation of the inequality B is

[tex]y \leq 3x[/tex]

therefore

the answer is

The system of inequalities is equal to

[tex]y>-2x-1[/tex]

[tex]y \leq 3x[/tex]