Explanation:
just try out some values to get a clue
f(0)<= -|0+1|+1 = 0
okay, that value is true for all graphs
let's try another
f(1) <= -|1+1|+1 = -1
for x=1 the inequality only applies for a region less or equal to -1
B and D are clearly out. C covers just to much above
Only A remains as an option
note that |-5| is just 5. this notation is to say "how far away from 0. -5 is just 5 units away from zero.
in terms of calculating it, it makes everything inside it positive (distance from zero is never negative)