Answer:
Minimum Value: -5
Maximum Value: -1
Interval is [-5, -1]
Explanation:
In math the absolute rule for a function f(x) = |x| ≤ a means that the range of values for x can be -a ≤ x ≤ +a
Use |t+3| instead of x in the above rule with a = 2
|t + 3| ≤ 2
⇒ -2 ≤ t + 3 ≤ 2
Subtract 3 from all parts
⇒ -2 - 3 ≤ t + 3 -3 ≤ 2 - 3
This gives
-5 ≤ t ≤ -1
which are the limits for t.
In interval notation this is
[-5, -1]
Minimum Value: - 5
Maximum Value: - 1