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Absolute Value as Distance Between Two Numbers
DISTANCE BETWEEN TWO REAL NUMBERS absolute value of the ... interval notation for solution set: $\,(-1,3)$ ... mark the number $\,-3\,$ on a number line; we want all numbers that are $\,1\,$ or more units away ... The sentence '$\,0 < |x - 2| < \delta\,$' is a compound inequality—it uses more than one inequality symbol. |
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college algebra - absolute value - Mesa Community College
The most common algebraic defintion of absolute value is as follows: ... That is, the absolute value of a number, a, is equal to the distance that 'a' is from zero. ... of a way to look at these inequalities that than be used to solve both types. ... 5 < 4x - 5 < 5. - 3 < 4x < 7. -3/4 < x < 7/4. In interval not... |
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Equations and Inequalities and Absolute Value
The [absolute value] of a number or expression describes its distance from 0 on a ... You might think of 5 right away; that is one solution to the equation. ... . The distance between these two values on the number line is colored in blue ... 2 and −2 would not be solutions because they are not more than 3 units away from 0. |
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Working with Absolute Value - University of Iowa
In mathematics, we use the concept of absolute value in two rather different looking but equivalent ... What is the distance from 7 to 5 on the number line? |
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Absolute value. Absolute value equations - A complete course in ...
THIS SYMBOL |x| denotes the absolute value of x, which is the number without its sign. |+3| = 3. ... Both 3 and −3 are a distance of 3 units from 0. |3| = |−3| = 3 ... Explain the following rules. a) |−x| = |x ... One with less than, |a|< b, and the other with greater than, |a|> b. ... The argument, 2x − 1, will fall between −5 an... |
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Absolute Value in Algebra - Math is Fun
To show you want the absolute value of something, you put "|" marks either ... The "|" can be found just above the enter key on most keyboards. ... Example: what is | −17| ? ... It is easier to graph if you have an "=0" equation, so subtract 5 from both ... be less than 3: -3 to 3. Everything in between (but... |
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Interpreting Absolute Value
A6-A9) discusses absolute value in terms of distance, and ... The statement "|x - 6 | > 3" means "the distance from x to 6 is greater than 3". |
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Inequalities
Note that Html does not support the standard symbols for "less than or equal to" ... In interval notation this set is (-inf, 7], where we use inf to stand for infinity. ... corresponding point on the graph of y = 5 - 2x is between the graphs of y = -3 and y = 9. ... The absolute value of a number is the distance the number is ... |
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SOLUTION: The distance between x and 7 is no more than 4. Use...
Use absoulute value notation to describe this expression. Algebra -> Absolute- value -> SOLUTION: The distance between x and 7 is no more than 4. |
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Absolute Value Inequalities - SOS Math
Instead, we will mostly use the geometric definition of the absolute value: The absolute ... Since 5 is at 5 units distance from the origin 0, the absolute value of 5 is 5, |5|=5 ... The distance on the real number line between the points -4 and +3 is 7, thus ... In English: Which real numbers are not more than 1 unit apart from 2? |
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Absolute Value - Purplemath
Explains absolute values in plain terms, and discusses notation, concepts, ... uses, but you probably won't see anything interesting for a few more classes yet. ... For now, you should view the absolute value of a number as its distance from zero. ... This means not only that | 3 | = 3, because 3 is three units to the right of zero... |