Question

In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line.

The graph represents which system of inequalities?

y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4

Answer 1

Answer:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be  or .

Since the shaded region A is above the line, the symbol is  

Observe that its y-intercept is:

The line of g(x) is solid. This means that the symbol of the inequality must be  or .

Since the shaded region B is below the line, the symbol is .

Observe that its y-intercept is:

.

Based on this, we can conclude that the graph represents the following System of Inequalities:

Step-by-step explanation:

Answer 2

Answer:

y ≤ 3x − 1

y ≤ −x + 4

Step-by-step explanation: