Look at the picture.
It is a function graph with an absolute value: y = |x| shifted 5 units to the right and 1 unit up.
The shaded region is above the graph.
Therefore we have the inequality:
y ≥ |x - 5| + 1
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f(x) + n - shift a graph n units up
f(x) - n - shift a graph n units down
f(x - n) - shift a graph n units right
f(x + n) - shift a graph n units left