Question

What is the solution set of |x – 2| > 3?

Answer 1

Hint:\[ |x|>5 \implies x>5 \text{ or } x<-5\]

Answer 2

According the to example, geometrically, \(x\) has a distance from 0 more than 5.

Answer 3

x<5 and x>-1

Answer 4

-3<x-2<3 means than -1<x<5

Answer 5

In the same way,\[|x - 2| > 3 \implies x - 2>3 \text{ or } x - 2<-3 \]

Answer 6

Solve both equations individually.

Answer 7

Sorry I misread the greater than sign. Parhtkohli is correct