Arthur Pratt

2021-12-06

Solve.
2|x-2|+6<0

zurilomk4

Step 1
Subtract 6 from both sides. Then divide by 2.
2|x-2|+6<0
Or, 2|x-2|<-6
Or, $|x-2|<\frac{-6}{2}$
Or, |x-2|<-3
Step 2
Absolute value is greater than equal to 0 always.
So, |x-2|<-3 is impossible