The graph that represents the inequality is graph b
Graph of inequalities
From the question, we are to graph the given inequality
The given inequality is
y ≥ |x+5|-3
To graph the inequality, we will write the inequality as an equation and we will find some of the points on the line
When x = 0
y = |x+5|-3
y = |0+5|-3
y = |-3
When y = 0
y = |x+5|-3
0 = |x+5|-3
0 = (x + 5) - 3 and 0 = -(x + 5) -3
3 = x + 5
x = 3- 5
x = -2
and
0 = -(x + 5) -3
x + 5 = -3
x = -3 - 5
x = -8
The graphs that has the points above are graphs b and d.
Since the inequality sign is ≥ when y is the subject, the solution to the inequality is above the lines.
Hence, the graph of the inequality is graph b.
The graph of the inequality is shown below
Learn more on Graphs of inequality here: https://brainly.com/question/371134
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