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I know about the very common usage of the verb distinguish:

By age of 10, a human being should be able to distinguish bitter from sweet! (self made sentence)

I am wondering if I can reword

We use two different line styles to make the demand and the production curves distinguishable.

into

We use two different line styles to distinguish the demand curve from the production curve.

?

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  • I think you can but that the word differentiate better conveys your meaning. – Ronald Sole Oct 10 '19 at 22:30
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We use two different line styles to distinguish the demand curve from the production curve.

This is perfect. Your sentence is of the form " . . . distinguish[es] X from Y".

What you are saying is this: "We use two different line styles to differentiate between the demand curve and the production curve."

Here are a few examples from Cambridge that are related:

I sometimes have difficulty distinguishing Spanish from Portuguese.

It's not the beauty so much as the range of his voice that distinguishes him from other tenors.

The male bird displays several characteristics which distinguish him from the female.

In this chart, we use two different line styles which distinguish the demand curve from the production curve.

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