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
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?

HOW TO ADD SUBTRACT MULTIPLY AND DIVEDE DISSIMILAR RADICALS?

the words and definitions to study please :)

The next graph that we have to look at is the hyperbola.  There are two standard forms of a hyperbola.  Here are instance of each. Hyperbolas contain two vaguely parabola s

square root of j+ square root of j +14 = 3 square root j +10. what is the value of J?

Properties of Logarithms 1. log b 1 = 0 .  It follows from the fact that b o   = 1. 2. log b b = 1.  It follows from the fact that b 1 = b . 3. log b b x   = x .  it c

i want to find the product using suitaible identities: (x+y+2z){(x*x)+(y*y)+4(z*z)-xy-2yz-2zx}

4 pipes can fill a tank in 70 minutes.how long will it take to fill the tank by 7 pipes

what is the reciprocal of 4 over 3 .