Question

if the shaded region in the graph represents the solution set to a system of inequalities, which of the following could be the system? choose 1 answer: a (ygeq-\frac{1}{4}x + 2) (ygeq - 4x-2) b (ygeq-\frac{1}{4}x + 2) (yleq - 4x-2) c (yleq-\frac{1}{4}x + 2)

Explanation:

Step1: Identify line - slope and shading for first line

The first line has a y - intercept of 2 and a slope of $-\frac{1}{4}$. Since the shaded region is below this line, the inequality is $y\leq-\frac{1}{4}x + 2$.

Step2: Identify line - slope and shading for second line

The second line has a y - intercept of - 2 and a slope of - 4. Since the shaded region is above this line, the inequality is $y\geq - 4x-2$.

Answer:

A. $y\geq-\frac{1}{4}x + 2$, $y\geq - 4x-2$