Answer:
d) 1 < x < 5
Step-by-step explanation:
[tex] |x-3| < 2 [/tex] (given)
it does imply two things,
[tex] ( x- 3) < 2 ({\textrm}{when} x ≥ 3) [/tex] -------(1)
[tex] (3-x) < 2 ({\textrm}{when} x < 3) [/tex] --------(2)
from (1),
[tex] x < 5 [/tex] -----(3)
from (2)
[tex] x >1 [/tex] -------(4)
so from (3) and (4)
[tex] 1 < x < 5 [/tex] (Answer)
