or
or
The given inequality is |x+1|<3. This means the distance of x+1 from 0 must be less than 3.
To solve this, we can break it down into two cases:
Solving these:
Combining these results, we get the solution set: -4 < x < 2, which can be written in interval notation as:
(-4, 2)
Thus, the number that is indicated as -4 is likely representing the lower boundary of the solution set, but -4 itself is not included (since it is -4 < x).
So, while -4 is not in the solution set, the context of the problem suggests that it serves as a lower limit for the values of x.
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