
Concept explainers
To translate: the given statement into symbols.

Answer to Problem 28WE
The given statement in terms of symbols is
Explanation of Solution
Given Information: The statement “Four is less than the absolute value of negative ten”
The given statement expresses an inequality between two numbers.
1. The first part of statement implies the number 4.
2. The second part of statement is “absolute value” of “negative” ten.
The absolute value of any number |+ a | or |- a | is the positive value a . Also, the opposite of
any number a is − a . In terms of symbols, this statement implies
3. Now, the inequality connecting these two statements is “less than” which is <.
Thus, the given statement in symbols can be summarized as,
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