Answer:
The answer to your question is Orange area
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)