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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

Question

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 8 and 2x+12 gt -8

Solution

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Resposta

The correct first step is to split the absolute value inequality into two separate inequalities. The correct option is: or Explanation:The inequality can be split into two separate inequalities:1. 2. This is because the absolute value of a number is less than 8 if and only if the number is between -8 and 8. Therefore, the correct first step is to split the inequality into two separate inequalities.