which number completes the system of linear inequalities represented by the graph? y ≥ 2x - 2 and x + 4y ≥
which number completes the system of linear inequalities represented by the graph? y ≥ 2x - 2 and x + 4y ≥
Answer
Explanation:
Step1: Find the x - intercept of the second line
The equation of the second line is in the form (x + 4y=k). To find the x - intercept, set (y = 0). The x - intercept of the blue line in the graph is (x=-4). Substituting (x=-4) and (y = 0) into (x + 4y=k), we get (k=x+4y).
Step2: Calculate the value of k
When (x=-4) and (y = 0), (k=-4+4\times0=-4). So the inequality is (x + 4y\geq - 4).
Answer:
-4