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

How do I solve, Suppose you are provided with a geometric sequence. How can...

Suppose you are provided with a geometric sequence. How can you find the sum of n terms of the sequence without having to add all of the terms?

Find solution using quadratic equation, Two cars start out at the similar p...

Two cars start out at the similar point.  One car starts out moving north at 25 mph. later on two hours the second car starts moving east at 20 mph.  How long after the first car s

Mutiply, Multiply 2(b + 5) Thanks

Multiply 2(b + 5) Thanks

Determing slopes, Give the slope of each line and determine whether the 2 l...

Give the slope of each line and determine whether the 2 lines are parallel, perpendicular or neither: 4x+3y=9 and -9x+12y=0

Mathematical definition absolute value equations, We can also indicate a st...

We can also indicate a strict mathematical/formula definition for absolute value.  It is, It tells us to look at the sign of p & if it's positive we just drop the absolute

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