Yumiko solved . Explain the error Yumiko made ?

The correct answer is: This solution can only be received only if the given equation is |x| < 5

Step by step solution:
The given inequality is
|x| > 5
Using the definition,

We get two cases
For x < 0,
We have
|x| = -x > 5
Multiplying -1 throughout,
x < -5
For x ≥ 0, we have
|x| = x > 5
that is
x > 5
Combining the two solutions, we get
x < -5 and x > 5
Whereas Yumiko’s solution is
x > -5 and x < 5
Which is completely wrong.
This solution can only be received only if the given equation is
|x| < 5

Absolute value of a variable has many uses in mathematics. Geometrically, the absolute value of a number may be considered as its distance from zero regardless of its direction. The symbol |.| is pronounced as ‘modulus’. We read |x| as ‘modulus of x’ or ‘mod x’.