Question

| x + 3 | >= 7

Solve and graph the inequality.

Answer 1

\[|x + 3| \ge 7\]
\[|x + 3| = \text{Everything between | and | is positive.}\]
Once you made everything positive (remove the absolute value markers):
\[x + 3 \ge 7 \]
Solve for \(x\):
\[x + 3 - 3 \ge 7 - 3\]
\[x \ge 4 \]
So \(x\) is greater than or equal to 4.