addresses this problem by the following vs by the following three

Both phrases are correct, but they are used in different contexts. 'addresses this problem by the following' is used when referring to a list of items or steps that will solve a problem, without specifying the number of items. 'by the following three' is used when specifically mentioning the number of items that will address the problem.

Last updated: March 17, 2024 • 607 views

addresses this problem by the following

This phrase is correct and commonly used when referring to a list of items or steps that will solve a problem.

This phrase is used to introduce a list of items or steps that will address a particular problem or issue.

Show examples from the web [+]

Apr 9, 1997 ... The invention addresses this problem by the folloWing technical means. Firstly, as the dragged icon is being moved. (before the mouse button ...

Alternatives:

addresses this problem with the following
solves this issue by the following
tackles this challenge with the following

by the following three

This phrase is correct and commonly used when specifically mentioning the number of items that will address a problem.

This phrase is used when you want to emphasize the specific number of items or steps that will address a particular problem.

Show examples from the web [+]

[ #46 | #47 | #48 | #49 | #50 | #51 | #52 | #53 | #54 | #55 ]. 49. A hiker's motion can be described by the following three displacement vectors.
4.27) A combination circuit is specified by the following three Boolean functions: F1( A, B, C) = ∑ ( 2, 4, 7). F2( A, B, C) = ∑ ( 0, 3). F3( A, B, C) = ∑ ( 0, 2, 3, 4, 7).
The suboccipital triangle is a region of the neck bounded by the following three muscles of the suboccipital group of muscles: Rectus capitis posterior major ...
Write down the four-digit number described by the following three statements. The first digit is one-third of the third digit. The fourth digit is two times the second ...

Alternatives:

by the following steps
by the following actions
by the following methods

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addresses this problem by the following vs by the following three