Final answer:
To solve the inequality (2|18 + 6x| < 0), we need to consider two cases: Case 1: 18 + 6x < 0, Case 2: 18 + 6x > 0. The solution to the inequality is x < -3 or x > -3.
Step-by-step explanation:
To solve the inequality (2|18 + 6x| < 0), we need to consider two cases:
Case 1: 18 + 6x < 0
Solving this inequality gives x < -3.
Case 2: 18 + 6x > 0
Solving this inequality gives x > -3.
Therefore, the solution to the inequality is x < -3 or x > -3, which can be represented graphically as two separate intervals on the number line.