which number completes the system of linear inequalities represented by the graph? y≥2x - 2 and x + 4y≥ -12…

which number completes the system of linear inequalities represented by the graph? y≥2x - 2 and x + 4y≥ -12 -3 4 6

which number completes the system of linear inequalities represented by the graph? y≥2x - 2 and x + 4y≥ -12 -3 4 6

Answer

Explanation:

Step1: Find the x - intercept of the second line

The second line has the equation in the form (x + 4y=\text{constant}). The x - intercept of a line (Ax+By = C) is found by setting (y = 0). For the line (x + 4y=\text{constant}), when (y = 0), we have (x=\text{constant}).

Step2: Identify the x - intercept from the graph

The second line (x + 4y\geq) (some number) intersects the x - axis at (x=- 12). So the number that makes the inequality (x + 4y\geq) (that number) true based on the graph is (-12).

Answer:

-12