Answer:
y ≥ x - 2, and x + 2y < 4 ; Option C
Step-by-step explanation:
Consider the y - intercept and slope of 1 of these given lines,
[tex]y - intercept = ( 0, - 2 ) / - 2\\slope = 1 / 1 = 1[/tex]
From this we can formulate the equation of 1 line;
[tex]Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = 1, b = - 2,\\Equation of Line 1 - y = x - 2[/tex]
Now consider the y - intercept and slope of the remaining line;
[tex]y - intercept = ( 0, 2 ) / 2\\slope = 1 / - 2 = - \frac{ 1 }{ 2 }[/tex]
This creates a line with the equation as such;
[tex]Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = - 1 / 2, b = 2,\\Equation of Line 1 - y = - \frac{ 1 }{ 2 } x + 2, x + 2y = 4[/tex]
From this we see that the solution of the system is such;
Solution ; y ≥ x - 2, and x + 2y < 4 ; Option C
