Question
What are the minimum and maximum values of t for which
∣t+3∣≤2
Minimum:
Maximum:
∣t+3∣≤2
Minimum:
Maximum:
Answers
GPT 3.5
To find the minimum and maximum values of t for which |t+3| ≤ 2, we can start by isolating t in the inequality.
|t+3| ≤ 2
This means that the expression t+3 must be between -2 and 2, including -2 and 2.
-2 ≤ t+3 ≤ 2
Now we can solve for t.
-2-3 ≤ t+3-3 ≤ 2-3
-5 ≤ t ≤ -1
Therefore, the minimum value of t is -5 and the maximum value of t is -1.
|t+3| ≤ 2
This means that the expression t+3 must be between -2 and 2, including -2 and 2.
-2 ≤ t+3 ≤ 2
Now we can solve for t.
-2-3 ≤ t+3-3 ≤ 2-3
-5 ≤ t ≤ -1
Therefore, the minimum value of t is -5 and the maximum value of t is -1.