3/30 vert 2x+12vert lt 8 Which is the correct first step? 2x+12lt 8 and 2x+12 lt -8 2x+12lt 8 or 2x+12gt -8 2x+12lt 8 or 2x+12gt -8 2x+12lt 8and2x+12 gt -8

To solve the inequality $\vert 2x+12\vert \lt 8$, we need to consider two cases:<br /><br />Case 1: $2x+12 < 8$<br />Case 2: $2x+12 > -8$<br /><br />Therefore, the correct first step is:<br />$2x+12 < 8$ or $2x+12 > -8$<br /><br />So, the correct answer is:<br />$2x+12\lt 8$ or $2x+12\gt -8$