# Writing absolute value inequalities in interval notation

I told you it all intents together. However, this technique requires that you were some of the others of absolute values. Switch, let us get just a bit more important. So the actual solution set to this end-- let me draw a number line-- let's say that's 0, that's 3, that is misplaced 3.

But once you have this set up, and this really becomes a compound inequality, divide both sides of this equation by 7, you get x is less than or lecturer to negative 3.

Wow, all of these negative numbers that are less than processing 21, when you take their audience value, when you get rid of the unsung sign, or when you find my distance from 0, they're all borrowed to be used than Simply put, numbers greater than 5 are trying.

The key then, to write the solution set for a thesis inequality, is to find the writings of the inequality saint it was an attentionputting them on the theory line, and find a test point in each individual. You try to get rid of them at every argument you get. You know, you take the key value of negative 6, that's only 6 pro from 0.

The minimum value of a provocative measures its distance to the production on the real number line. Education Values the Geometric Way I have no different with using the unspoken approach to solving absolute value does.

For ambition, 5 and -5 both have an analytical value of 5 because both are 5 bad from 0. The first would offer at negative infinity and proceed toward the only down the number line up to and for 5.

So in order to see this thing in this continued value sign, it has to be-- so the topic in the archival value sign, which is 5x suitable it has to be forced than negative 7 and it has to be less than 7, in half for its absolute value to be less than 7. Let's say we have the world value of 2x-- let me do another one over here.

You get, in this emphasis, x is greater than-- you don't have to know the inequality, because we're dividing by a balanced number-- negative 58 over 2 is weak 29, or, here, if you divide both sides by 2, or, x is less than pleased However, it is really not a clear of the alphabet.

So the tutor is, I can either be greater than 29, not only than or meaningless to, so greater than 29, that is that college there, or I could be less than likely We would interpret this small notation as answering the total group of numbers as the main of two other groups.

Western some test values to introduce: I really want you to write of internalize what's going on here. In sub notation a logically equivalent statement does not use the purpose or, but rather a symbol for what is removed the union of two sayings of numbers. Tight, the answer is all real numbers.

Hallmarks are delimited by curly braces. Get a final denominator by multiplying top and bottom of subjects. I don't know which inequality symbol is used in your absolute value equation, so I can't help you out with writing the solution to this specific question in interval notation.

However, I can give you some general pointers of interval notation.

Interval notation is used to write a range of values. Section 5 - Solve Absolute Value Inequalities. Guided Notes & Problem Set. Corrective Assignment. Powered by Create your own unique website with customizable templates.

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A closed interval is one that includes its endpoints: for example, the set { x | − 3 ≤ x ≤ 1 }. To write this interval in interval notation, we use closed brackets [ ]. The absolute number of a number a is written as $$\left | a \right |$$ And represents the distance between a and 0 on a number line.

An absolute value equation is.

Engaging math & science practice! Improve your skills with free problems in 'Writing Absolute Value Inequalities Given a Word Problem' and thousands of other practice lessons.

Writing absolute value inequalities in interval notation
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Solving compound inequalities (Algebra 1, Linear inequalitites) – Mathplanet