Knowing the meaning of a word sentence: Be the boss of word problems - Part 3

in #mathematics8 years ago

A word sentence is a relation between two or more word phrases.

It can include:

equal to

not equal to

greater than

greater than or equal to

less than

less than or equal to

or a combination of those relations.

For example:

Which of the following is a word sentence?

  1. five more than x
  2. five more than x is equal to 9

For number 1:
five more than x translates to x + 5.
This is not a sentence. It does not say anything about the amount x + 5, so it is not a word sentence.
For number 2:
five more than x is equal to 9 is a word sentence since it gives us a relation between the two quantities which is equal.

Thus, number 2 is a word sentence.


Now try:

Which of the following is a word sentence?

  1. Three-quarters y is greater than 0 and less than 25.
  2. The quotient of x by three

For number 1:
There is a relation between the two quantities so this means that it is a word sentence.


For number 2:
There is no relation so this means that it is not a word sentence.

To follow the series, please see the previous posts leading up to this one:
Part 1: https://steemit.com/mathematics/@ghostgtr/algebraic-expressions-be-the-boss-of-word-problems-part-1
Part 2: https://steemit.com/mathematics/@ghostgtr/algebraic-expressions-be-the-boss-of-word-problems-part-2

In Part 4, I will explain how to know the meaning of an algebraic sentence.


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