Question

Which conjunction or disjunction is equivalent to the given absolute value inequality?

|x + 2| > 16

a. x + 2 > 16 and x + 2 < - 16
b. x + 2 < 16 and x + 2 > - 16

Answer 1

The correct answer is A.  When dealing with an absolute value inequality, you want to flip the positive to a negative sign, as well as flip the inequality sign.

Answer 2

a.

Explanation:

|x+2|>16

x+2>16 or x+2<-16

So, tecnically a and b are incorrect, but if you change the "and" to "or" the correct would be a.