Linear inequalities, Algebra

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 .

Posted Date: 4/6/2013 5:19:52 AM | Location : United States







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

Write discussion on Linear inequalities
Your posts are moderated
Related Questions
Example : Sketch the graph of hyperbolas.                                  ( x - 3) 2 /25 - ( y + 1) 2 /49 =1 Solution Now, notice that the y term contain the minus sig


wqdweq wqre


Given that x=2 is a zero of P ( x ) = x 3 + 2x 2 - 5x - 6 determine the other two zeroes. Solution Firstly, notice that we actually can say the other two since we know th



Coordinates for the point  The listed first number is the x-coordinate of the point and the second number listed is the y-coordinate of the point. The ordered pair for any spec

3.4% as a decimal

the sum of four consecutive even integers is 2 more than five times the first integer.find the smallest integer