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
why is the inequality symbol must be reversed when both sides of a inequality are multiplied or divided by a negative number

We should graph a couple of these to make sure that we can graph them as well. Example : Sketch the graph of the following piecewise function. Solution Now while w

when I have the equation of 6x-9y=18 and I have to graph the answers I am not sure how to come up with the answers, please help

m?1=m?2 m?2=75 m?1=75

Harold’s movie theater increased the price of admission 20%. Tickets had sold for $7.00. What is the current ticket price? Percent of Decrease: 3. Original Price: $45


I am supposed to put y= -2x-16x-32 in vertex form and identify the vertex , axis of symmetry, and direction of opening.

In 1975, the U.S. Environmental protection agency set a standard of 50 parts per billion of lead in drinking water. In 1991, a new standard was set that safe water contains less th

how do i find the y-intercept when i already found the slope?

1% of what number is 11