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

Word problem, When the Gleo Retro (a trendy commuter car) is brand new, it ...

When the Gleo Retro (a trendy commuter car) is brand new, it costs $23,500. Each year it loses 15 % of its value. What will the car be worth when it is 15 years old?

Solving addition equations, Alice bought a round-trip ticket to fly from Ba...

Alice bought a round-trip ticket to fly from Baltimore to Chicago on SuperAir for $250. That was $16 more than she would have on Jet Airlines, which only offered a one-way fair. Ho

Vertical shifts transformations, By using transformations sketch the graph ...

By using transformations sketch the graph of the given functions.                        g ( x ) = x 2 + 3 Solution Here the first thing to do is graph the function wit

Completing the square process, As a last topic in this section we have to b...

As a last topic in this section we have to briefly talk about how to take a parabola in the general form & convert it into the following form

Shapes, I know im not in the exact grade yet but i would like to know how i...

I know im not in the exact grade yet but i would like to know how it works to be ahead of time

#transforming quadratic and square root functions, how would i solve one of...

how would i solve one of these functions. like how would i find the domain and range? and may i get an example.

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