2. The solution will be all points that are more than two units away from zero.">

# How to write absolute value inequalities

None of the Google Books links work for me, though. They just link to the same front-page of a book cover and some blurbs. Maybe old-fashioned citations are necessary.  Absolute value equations Video transcript Let's do some equations that deal with absolute values. And just as a bit of a review, when you take the absolute value of a number.

Let's say I take the absolute value of negative 1. What you're really doing is you're saying, how far is that number from 0? And in the case of negative 1, if we draw a number line right there-- that's a very badly drawn number line. If we draw a number line right there, that's 0. You have a negative 1 right there.

Well, it's 1 away from 0. So the absolute value of negative 1 is 1. And the absolute value of 1 is also 1 away from 0. It's also equal to 1. So on some level, absolute value is the distance from 0. But another, I guess simpler way to think of it, it always results in the positive version of the number.

The absolute value of negative 7, is equal to 7, So with that in mind, let's try to solve some equations with absolute values in them.

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So let's say I have the equation the absolute value of x minus 5 is equal to And one way you can interpret this, and I want you to think about this, this is actually saying that the distance between x and 5 is equal to So how many numbers that are exactly 10 away from 5?

And you can already think of the solution to this equation, but I'll show you how to solve it systematically.

 View Standards - SAS We have a new server! Causes of Inequality: Analytical Strategies -- Robert Max Jackson If you are graphing inequalities with two variables on a coordinate system, go here. Linear Inequality Word Problems can be found here. Intro to absolute value equations and graphs (video) | Khan Academy Print this page Addition and subtraction within 5, 10, 20,or Addition or subtraction of two whole numbers with whole number answers, and with sum or minuend in the range,orrespectively. Solving Absolute Value Equations and Inequalities – She Loves Math What do we mean by social inequality? Compound inequalities The absolute value is always positive, so you can think of it as the distance from 0. I like to then make the expression on the right hand side without the variables both positive and negative and split the equation that way.

Now this is going to be true in two situations. Either x minus 5 is equal to positive If this evaluates out to positive 10, then when you take the absolute value of it, you're going to get positive Or x minus 5 might evaluate to negative If x minus 5 evaluated to negative 10, when you take the absolute value of it, you would get 10 again.

So x minus 5 could also be equal to negative Both of these would satisfy this equation. Now, to solve this one, add 5 to both sides of this equation.rutadeltambor.comA.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution.

Construct a viable argument to justify a solution method. In this module, we will learn to solve linear and absolute value equations and inequalities. We will also explore a range of story problems which can be solved utilizing linear equations. The ``forget the minus sign" definition of the absolute value is useless for our purposes.

Instead, we will mostly use the geometric definition of the absolute value: The absolute value of a number measures its distance to the origin on the real number line. This guide concerns the systematic analysis of social inequalities.

While stressing what causes social inequalities, it considers such topics as: what is a social inequality, how do social inequalities arise, why do they take different forms, why do they vary in degree across societies, what sustains social inequalities over time, how do various institutions and practices contribute to.

Find the mid-point between the extremes of the inequality and form the equality around that to reduce it to single inequality. the mid-point is so. Mathematics Glossary» Glossary Print this page.

Addition and subtraction within 5, 10, 20, , or Addition or subtraction of two whole numbers with whole number answers, and with sum or minuend in the range , , , or , respectively.

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