To solve the inequality, we need to consider two cases.
Case 1: x + 6 ≥ 4
Subtract 6 from both sides: x ≥ -2
Case 2: -(x + 6) ≥ 4
Multiply both sides by -1 and simplify: x + 6 ≤ -4
Subtract 6 from both sides: x ≤ -10
So, the solution to the inequality is x ≤ -10 or x ≥ -2.
To graph the inequality, we can draw a number line and mark -10 and -2 on it. Then, shade the regions to the left of -10 and to the right of -2 to represent the solution.
Solve and graph the inequality.
|x + 6| => 4
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