Answer:
D
Explanation:
the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.
otherwise, we would have a "<=" ("smaller or equal") symbol.
let's start for the first limit to calculate without the absolute value :
-2 + (x - 3) < 7
-5 + x < 7
x < 12
the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :
-1×(-2 + (x - 3)) < 7
2 - (x - 3) < 7
2 - x + 3 < 7
-x + 5 < 7
-x < 2
x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).