Question

What are the steps to solving 2|x−5|+1≥3?

The answers is x≥6 or x≤4.

Answer 1

1. take 1 from both sides
2. divide both sides by 2
3. square both sides
4. put all thing to the LHS
5. solve the quadratic equation

Answer 2

Thanks appreciate the help.

Answer 3

thanks

Answer 4

2|x − 5| + 1 ≥ 3
2|x − 5| ≥ 2
|x - 5| >= 1
means
x - 5 >= 1 or x - 5 <= -1
x >= 6 or x <= 4

Answer 5

If |y| >= a it means y >= a or y <= -a

Answer 6

Makes a lot more sense thanks.

Answer 7

You are welcome.

If |Z| <= C it means -C <= Z <= +C

If |Z| >= C it means Z <= -C or Z >= +C