Question

The graph represents which system of inequalities?

Oys-3x - 1
y = -x - 4
Oy2-3x + 1
y s -x - 4
Oys 3x - 1
ys-X + 4
Oys 3x - 1
y = -x + 4

Answer 1

• y ≤ 3x - 1
• y ≥ - x + 4

Explanation:

On the graph we have:

Line f(x)

• f(x) is rising function, y-intercept is -1, slope is 3 which is determined by the points - (0, -1) and (1, 2)

• Zone B is to the right of the line and the line is solid

As per description above we get inequality:

• y ≤ 3x - 1

Line g(x)

• g(x) is decreasing function, y-intercept is 4, slope is -1 which is determined by same x-intercept and y-intercept
• Zone A is to the right of the line and the line is solid

As per description above we get inequality:

• y ≥ - x + 4

Zone AB is the intersection of the two zones, so the system is:

• y ≤ 3x - 1
• y ≥ - x + 4