Explanation:
Consider the following inequality:
[tex]|5x\text{ - 1\mid<1}[/tex]
Applying the properties of absolute value, this inequality is equivalent to:
[tex]\text{ - 1< 5x - 1 < 1}[/tex]
solving for 5x, this is equivalent to:
[tex]\text{ - 1 + 1< 5x < 1+1}[/tex]
that is:
[tex]\text{ 0< 5x < 2}[/tex]
solving for x, we obtain:
[tex]\text{ 0< x < }\frac{2}{5}[/tex]
then, we can conclude that the correct answer is:
Answer:
