Linear inequalities, Algebra

Assignment Help:

To this instance in this chapter we've concentrated on solving out equations.  Now it is time to switch gears a little & begin thinking regarding solving inequalities.  Before we get into solving inequalities we have to go over a couple of the basics first.

It is assumed that you know that

                                                         a < b

refer that a is any number which is strictly less that b. It is also supposed that you know that

                                                         a ≥ b

means that a is any number that is either strictly bigger than b or is exactly equivalent to b.  Alike it is supposed that you know how to deal along with the remaining two inequalities. > (greater than) and ≤ (less than or equal to).

What we desire to discuss is some notational facts and some subtleties which sometimes get students while the really start working with inequalities.

First, recall that while we say that a is less than b we refer that a is to the left of b on a number line.  Thus,

                                                      -1000 > 0

is a true inequality.

After that, don't forget how to appropriately interpret ≤ and ≥ .  Both of the following are true inequalities.

                                    4 ≤ 4                                                   -6 ≤ 4

In the primary case 4 is equivalent to 4 and thus it is "less than or equal" to 4.  In the second case -6 is strictly less than 4 & so it is "less than or equal" to 4. The most common fault is to select that the first inequality is not a true inequality.  Also be careful to not take this interpretation & translate it to < and/or >.  For instance,

                                                  4 < 4

is not a true inequality as 4 is equivalent to 4 and not less than 4.

At last, we will be seeing several double inequalities .


Related Discussions:- Linear inequalities

Constant function, It is probably the easiest function which we'll ever gra...

It is probably the easiest function which we'll ever graph and still it is one of the functions which tend to cause problems for students. The most general form for the constant

#ineedhelp, How do you find perpendicular line equations?

How do you find perpendicular line equations?

Probability, Provide one example to show how you can use the Expected Value...

Provide one example to show how you can use the Expected Value computation to assess the fairness of a situation (probability experiment). Provide the detailed steps and calculatio

Algebra expression, write an algebraic expression: Kelly is 2 years younger...

write an algebraic expression: Kelly is 2 years younger than 3 times Tracy''s age

Interpreting expressions, twice the number n plus the product of eight and ...

twice the number n plus the product of eight and z. I need to know the algebraic expression, term, factors, coefficient, and constants

Q1, I have a 12.2 bottle of mustard. I use 1/20 of mustard per serving per ...

I have a 12.2 bottle of mustard. I use 1/20 of mustard per serving per hot doog. How much mustard do I have left after 4 servings of hot dogs.

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?

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