Which of the following inequalities matches the graph below?

(a) the correct inequality is not listed.
(b) 5x + y ≥ 1
(c) 5x + y ≤ 1
(d) 5x − y ≥ 1

The answer to your question is letter A

Step-by-step explanation:

Process

1.- Find two points of the line

A (1, 4)    B ( -1, 5)

2.- Find the slope of the line

3.- Find the equation of the line

     y - y1 = m(x - x1)

    y - 4 = 9/2(x - 1)

    2y - 8 = 9x - 9

    9x - 2y = - 9 + 8

    9x - 2y = - 1

4.- Convert the equation to a inequality,

    9x - 2y ≤ -1

just needed some points but try socratic

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743