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
4.7
(249 Votos)
Valdir
Profissional · Tutor por 6 anos
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.