Question Error? (epsilon-delta proof of a limit)

[Mustard]

Homework Statement

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Relevant Equations

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I can not follow this mathematically. I am guessing one of the signs is incorrect?
Can anyone verify ?

 

[etotheipi]

What is $|(\frac{3}{4}x + 1) - 7|$?

 

[Mark44]

What is $|(\frac{3}{4}x + 1) - 7|$?

@Mustard, after you simplify the above, factor out 3/4 from both terms inside the absolute value signs.

 

[haruspex]

There is one error in the question: the steps are in reverse order.

 

[PeroK]

The implication signs are missing: $\Leftarrow$ or $\Leftrightarrow$ would do.