Arthur Pratt

2021-12-06

Solve.

2|x-2|+6<0

2|x-2|+6<0

zurilomk4

Beginner2021-12-07Added 35 answers

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

Answer: No solution.

Subtract 6 from both sides. Then divide by 2.

2|x-2|+6<0

Or, 2|x-2|<-6

Or,

Or, |x-2|<-3

Step 2

Absolute value is greater than equal to 0 always.

So, |x-2|<-3 is impossible

Answer: No solution.