Question

hw sec. 2.5
score: 7/12 8/12 answered
question 9
solve the following continued inequality and graph the solution. answer using interval notation.
$-6 < t + 2 < 6$

Explanation:

Step1: Subtract 2 from all parts

To solve the inequality \(-6 < t + 2 < 6\), we subtract 2 from each part of the inequality. This is done to isolate \(t\) in the middle. So we have \(-6 - 2 < t + 2 - 2 < 6 - 2\).

Step2: Simplify each part

Simplifying each part: \(-6 - 2 = -8\), \(t + 2 - 2 = t\), and \(6 - 2 = 4\). So the inequality becomes \(-8 < t < 4\).

Answer:

\((-8, 4)\)