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

Measures of variation, the table shows the number of minutes of excirccise ...

the table shows the number of minutes of excirccise for each person compare and contrast the measures of variation for both weeks

Financial project, Five (5) years ago, you bought a house for $171,000, wit...

Five (5) years ago, you bought a house for $171,000, with a down payment of $30,000, which meant you took out a loan for $141,000. Your interest rate was 5.75% fixed. You would li

Algerbra.., ??2+??2+16??-18??+145=25 Standard form (x-h)^2 +(y-k)^2 k (x...

??2+??2+16??-18??+145=25 Standard form (x-h)^2 +(y-k)^2 k (x^2+16x+64)^2+(y^2-18y+81)^2=25 (x+8)^2+(y-9)^2=120 (h,k)=(8,-9) R=5 Intercepts

Elevation, A v\certain mountain had an elevation of 19,063 ft. In 1911 the ...

A v\certain mountain had an elevation of 19,063 ft. In 1911 the glacier on this peek covered 8 acres. by 2000 this glacier had melted to only 1 acre. what is the yearly rate of ch

Facts about function composition, We have to note a couple of things here r...

We have to note a couple of things here regarding function composition.  Primary it is NOT multiplication. Regardless of what the notation may recommend to you it is simply not

Inequality problem, why is the inequality symbol must be reversed when both...

why is the inequality symbol must be reversed when both sides of a inequality are multiplied or divided by a negative number

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