Question

Solve |5x - 1| < 1

{x|0 < x < 2/5}
{x|x < 0 or x > 2/5}
{x|-2/5 < x < 2/5}

Answer 1

If you use mathway.com and type in this problem it will give you the answer and show you the work if desired.

Answer 2

Your answer is b

Answer 3

5x−1|<1
Solve Absolute Value.
|5x−1|<1
We know5x−1<1and5x−1>−1
5x−1<1(Condition 1)
5x−1+1<1+1(Add 1 to both sides)
5x<2
5x5<25(Divide both sides by 5)
x<\(\frac{ 2}{ 5 }\)
5x−1>−1(Condition 2)
5x−1+1>−1+1(Add 1 to both sides)
5x>0 \(\frac{ 5x}{ 5 }\)
\(\frac{ 5x}{ 5 }\)>\(\frac{ 0}{ 5 }\)(Divide both sides by 5)
x>0
Answer:
x< \(\frac{ 2}{ 5 }\) and x>0

Answer 4

*\(\frac{ 2}{ 5 }\)

Answer 5

\[\left| x-a \right|<b\]
-b<x-a<b