Which graph represents the system of inequalities? y+3x≥2 y+4≥12x

The answer to your question is Orange area

Step-by-step explanation:

Data

y + 3 ≥ 2

y + 4 ≥ 12x

Process

1.- Change the signs "≥" to the sign "=".

      y + 3x = 2                  Equation l

      y + 4 = 12x                 Equation ll

2.- Solve to y both equations

      y = -3x + 2                 Equation l

      y = 12x - 4                  Equation ll

3.- Graph the equations (see the graph below)

4.- Change the signs again

     y ≥ -3x + 2

     y ≥ 12x - 4

We are interested in the upper area of both inequalities.

Conclusion

The solution to this system of inequalities is the area where but inequalities crosses (Orange area)

step-by-step explanation:

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