1 Answer

Yoven · Answer 1 · 2023-08-02T11:00:06+0000

Step-by-step explanation:

Consider the following inequality:

$|5x\text{ - 1\mid<1}$

Applying the properties of absolute value, this inequality is equivalent to:

$\text{ - 1< 5x - 1 < 1}$

solving for 5x, this is equivalent to:

$\text{ - 1 + 1< 5x < 1+1}$

that is:

$\text{ 0< 5x < 2}$

solving for x, we obtain:

$\text{ 0< x < }(2)/(5)$

then, we can conclude that the correct answer is:

Answer:

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