Absolute value inequalities, Algebra

Assignment Help:

In the earlier section we solved equations which contained absolute values.  In this section we desire to look at inequalities which contain absolute values.  We will have to examine two separate cases.

Inequalities Involving < and ≤

As we did with equations let's begin by looking at a fairly simple case.

                                                         p ≤ 4

This says that no matter what p is it ought to have a distance of no more than 4 from the origin. It means that p have to be somewhere in the range,

                                                       -4 ≤ p ≤ 4

We could have alike inequality with the < and obtain a similar result.

Generally we have the following formulas to use here,

If         |p| ≤ b, b = 0    then     - b ≤ p ≤ b

If         |p| < b, b =0     then     - b < p < b


Related Discussions:- Absolute value inequalities

Math question, Do you have any helpful hints for solving equations?

Do you have any helpful hints for solving equations?

Example of absolute value inequalities, Solve following.  2 x - 4 = 10 ...

Solve following.  2 x - 4 = 10 Solution There actually isn't much to do other than plug into the formula.  As with equations p merely represents whatever is within the a

Slope intercept, how do you do equations for sloe intercept?

how do you do equations for sloe intercept?

Two forms of the parabola, There are two forms of the parabola which we wil...

There are two forms of the parabola which we will be looking at. The first form will make graphing parabolas very simple.  Unluckily, most parabolas are not in this form.  The seco

Radical Expressions, An object 4.8 feet tall casts a shadow that is 14.4 fe...

An object 4.8 feet tall casts a shadow that is 14.4 feet long. How long in feet would the shadow be for an object which is 16.8 feet tall?

Remainder and Factor Theorems, I have a homework question to use the factor...

I have a homework question to use the factor theorem that I need to use Synthetic Substitution with. I did all the work and the divisor is a factor but the equation I have to use t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd