Question

Use the form |x-b|c to write an absolute value inequality that has the solution set x<-7 or x>5

Answer 1

|x+1|>6

Explanation:

Say these two points were drawn on a number line. The midpoint would be -1, traveling 6 units in their respective direction. Generally, if the midpoint was A, and they each travelled B units, the equation it would satisfy would be |x-A|>B.