Inequalities: open circle or filled in circle notation
<
>
>
>
<
<
RTehmereeamrebtweork-i-n-dtshoef nsoetatmionefoar ngratphhseosf ame thianniendqguina-tel-itr-ivejausl:snootpteatntwiocnirocblerdaocirkfeffitlelse.rdeYinonuctisrchnloeounldtoatbaettiioon ns.
familiar with both. x 1
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
[
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
circle filled in
squared end bracket
Both of these number lines show the inequality above. They are just using two different notations. Because the inequality is "greater than or equal to" the solution can equal the endpoint. That is why the circle is filled in. With interval notation brackets, a square bracket means it can equal the endpoint.
RLeemt's elomok batethre--tw-tohdeiffsereenmt noetaatinonsthwieth sa ame thdiifnfegre-n-t-ijnueqsutaltitywsoignd. ifferent notations.
x 1
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
)
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
circle not filled in
rounded end bracket
Since this says "less than" we make the arrow go the other way. Since it doesn't say "or equal to" the solution cannot equal the endpoint. That is why the circle is not filled in. With interval notation brackets, a rounded bracket means it cannot equal the endpoint.
Compound Inequalities
Let's consider a "double inequality" (having two inequality signs).
2 x 3
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
(
]
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
I think of these as the "inbetweeners". x is inbetween the two numbers. This is an "and" inequality which means both parts must be true. It says that x is greater than ?2 and x is less than or equal to 3.
Compound Inequalities
Now let's look at another form of a "double inequality" (having two inequality signs).
x 2 or x 3
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
)
[
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Instead of "and", these are "or" problems. One part or the other part must be true (but not necessarily both). Either x is less than ?2 or x is greater than or equal to 3. In this case both parts cannot be true at the same time since a number can't be less than ?2 and also greater than 3.
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- haskell operators and other lexical notation
- symbols more than less than or equal to
- inequalities symbols and vocabulary mt sac
- less than equal racial disparities in wealth accumulation
- functions and expressions stata
- verilog operators
- lesson plan greater and less than
- solving absolute value equations and inequalities
- less than or subtracted from
- interval notation and linear inequalities section 1 7
Related searches
- in scientific notation calculator
- number in scientific notation calculator
- the inequality in interval notation is
- write in function notation calculator
- divide numbers written in scientific notation calculator
- rewrite in scientific notation calculator
- filled in unit circle pdf
- write in interval notation calculator
- solution set in interval notation calculator
- american prescriptions filled in canada
- getting prescriptions filled in canada
- print number in scientific notation python