Choose the compound inequality that can be used to solve the original inequality|3x - 5| > 10.
-10 < |3x - 5| < 10
3x - 5 > -10 or 3x - 5 < 10
3x - 5 < -10 or 3x - 5 > 10
-10 < 3x - 5 < 10

Solution:

The modulus function, which is also called the absolute value of a function, gives the magnitude or absolute value of a number irrespective of the number being positive or negative. 

It always gives a non-negative value of any number or variable. 

Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → R and x ∈ R.

It is given that

|3x - 5| > 10

We know that a compound inequality is a combination of more than one inequality.

By splitting the given inequality we get

3x - 5 > 10

3x - 5 < -10 

So the compound inequality can be 3x - 5 < -10 or 3x - 5 > 10.

⇒ x > 5 and x < -5/3

Therefore, the compound inequality that can be used is 3x - 5 < -10 or 3x - 5 > 10.

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Choose the compound inequality that can be used to solve the original inequality |3x - 5| > 10.

Summary:

The compound inequality that can be used to solve the original inequality |3x - 5| > 10 is 3x - 5 < -10 or 3x - 5 > 10.