Absolute value inequalities, Algebra

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

Posted Date: 4/6/2013 5:40:56 AM | Location : United States







Related Discussions:- Absolute value inequalities, Assignment Help, Ask Question on Absolute value inequalities, Get Answer, Expert's Help, Absolute value inequalities Discussions

Write discussion on Absolute value inequalities
Your posts are moderated
Related Questions
50 units for 580 dollars a month, rent increase 625.00 now only 47 units occupied

what are the solutions of [x+6]_> 5? write the solution as either the union or the intersection of two sets

Karen is 62 1/2 Inches tall . Her mother is 5 3/4 inches taller. How tall is Karen''s mother?

Utilizes augmented matrices to solve out each of the following systems. x - y = 6 -2x + 2 y = 1 Solution Now, already we've worked this one out therefore we know that


The weight of an object on Planet A and the weight of the same object on the Planet B are proportional. An astronaut who weighs 160 pounds on Planet A weighs 26.7 pounds on Planet

An inlet pipe can fill a large water tank in 4 hours. Another inlet pipe can fill the same water tank in 5 hours. Given an empty water tank, at 8:00 AM, activate both pipes. What t

Solve the following simultaneous equations by using Cramer's rule                      3x+2y=13                      2x-y=4

As the heading recommend here we will be solving quadratic equations by factoring them. Zero factor property or zero factor principle  To solving quadric equation by factor

The national demand and price for a certain type of energy-efficient exhaust fan are related by p=490-4/5q, where p is the price(in dollars) and q is the demand (in thousands). The