Which linear inequality is represented by the graph?

a. y ≤1/3 x − 1
b. y ≥1/3 x − 1
c. y < 3x − 1
d. y > 3x − 1

Correct choice is B.

Step-by-step explanation:

First, determine the equation of the boundary line. This line passes through the points (3,0) and (0,-1). Then its equation is

This line is solid on the diagram, then the sign of the inequality should be with the notion "or equal to" (≤ or ≥). Also this line divides the coordinate plane into two regions. The origin belongs to the shaded region, thus, the coordinates (0,0) of the origin must satisfy the inequality. Since

the correct inequality is in option B.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11