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

Homework, will you guys help mw with my homework?

will you guys help mw with my homework?

Domain and range, Consider the function y = 2x. the domain is restricted to...

Consider the function y = 2x. the domain is restricted to 0 = x = 4, what is the range of this function

Y-intercept, how do i find the y-intercept when i already found the slope?

how do i find the y-intercept when i already found the slope?

Example of least common denominator, Example :   Solve (x+ 1 / x - 5 )≤ 0 ....

Example :   Solve (x+ 1 / x - 5 )≤ 0 . Solution Before we get into solving these we need to point out that these don't solve in the similar way which we've solve equations

Algebraic Equation, The sum of digits of a number is 9 If the digits of the...

The sum of digits of a number is 9 If the digits of the number are reversed the number increases by 45 What is the original 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