which compound inequality can be used to solve the inequality |3x + 2|>7?\n-7 < 3x + 2>7\n-7>3x + 2>7\n3x +…
which compound inequality can be used to solve the inequality |3x + 2|>7?\n-7 < 3x + 2>7\n-7>3x + 2>7\n3x + 2>-7 or 3x + 2>7\n3x + 2<-7 or 3x + 2>7
Answer
Answer:
D. (3x + 2<-7) or (3x + 2>7)
Explanation:
Step1: Recall absolute - value inequality rule
For (|u|>a) ((a>0)), it is equivalent to (u < - a) or (u>a). In the inequality (|3x + 2|>7), let (u = 3x+2) and (a = 7).
Step2: Apply the rule
By the rule, (|3x + 2|>7) is equivalent to (3x + 2<-7) or (3x + 2>7).