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

Iris, An object 4.8 feet tall casts a shadow that is 14.4 feet long. How lo...

An object 4.8 feet tall casts a shadow that is 14.4 feet long. How long in feet would the shadow be for an object which is 13.2 feet tall?

Solve example using logarithms, Example Simplify following logarithms. ...

Example Simplify following logarithms. log 4 ( x 3 y 5 ) Solution Here the instructions may be a little misleading.  While we say simplify we actually mean to say tha

Hcf in algebra, How to find the hcf of 36a and 12ab

How to find the hcf of 36a and 12ab

Logarithm functions, Logarithm Functions In this section now we have t...

Logarithm Functions In this section now we have to move into logarithm functions. It can be a tricky function to graph right away.  There is some different notation which you

Verbal problem, A bullet is shot upwards with an initial velocity of 100 ft...

A bullet is shot upwards with an initial velocity of 100 ft/sec from a point 12 ft above the ground, and its height above the ground at time t is given by h(t)= -16t^2 + 100t +12

Axis of symmetry, The dashed line along with each of these parabolas is cal...

The dashed line along with each of these parabolas is called the axis of symmetry.  Every parabola contains an axis of symmetry and, as the graph illustrates, the graph to either s

Expressions, how do you simplify an expression of 100

how do you simplify an expression of 100

Problem, Solve the system algebraically. x - 2y - 3z = negative-1 2x + y ...

Solve the system algebraically. x - 2y - 3z = negative-1 2x + y + z = 6 x + 3y - 2z = negative13

#pi day, #what is the word udxhhnrr tesyet ide mean

#what is the word udxhhnrr tesyet ide mean

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