Question

|x+1| +5 < 7

Answer 1

x = \[\le 0\] I think

Answer 2

If x \[\ge 1\] , it would be \[\ge 7\]

Answer 3

|x+1| +5 < 7

in any absolute value equation/inequality, you'll need to isolate the absolute value:

|x+1| +5 - 5 < 7 -5 subtract 5 from both sides
|x+1| < 2

from here, you'll need to solve two inequalities that make up the solution set to the inequality equation:
x+1 < 2 AND x+1 > -2

notice the "AND" conjunction.... your solution set will be the intersection of these two sets.