Grade 9 Inequalities

[Renesmee]

I don't quite know if this falls under Algebra, but that's what Google says. LOL

I have a test next Thursday, on maths.
In the test, the teacher said that we'd be getting Inequalities in our test. Such as Set Builder; Interval Notaion and listing. We'll also be doing stuff like Numberlines, all following under Inequalities.

The problem is, I don't understand a single thing about Inequalities. The teacher just told me: You'll figure it out.
When do you use a square bracket or round bracket?
When do you draw a line on the numberline?
When do you draw a coloured dot and when do you draw a non-coloured dot?
How do you write interval notation?
How do you write set builder?

Please help!

 

[HallsofIvy]

I don't quite know if this falls under Algebra, but that's what Google says. LOL<br>
<br>
I have a test next Thursday, on maths.<br>
In the test, the teacher said that we'd be getting Inequalities in our test. Such as Set Builder; Interval Notaion and listing. We'll also be doing stuff like Numberlines, all following under Inequalities.<br>
<br>
The problem is, I don't understand a single thing about Inequalities. The teacher just told me: You'll figure it out.<br>
When do you use a square bracket or round bracket?

<br>
A square bracket means that endpoint is in the set, a round bracket means it is not in the set<br>
(0, 1) means "all numbers between 0 and 1" but the set does not include the numbers 0 and 1 themselves. The numbers satisfy 0< x< 1. <br>
<br>
[0, 1] means "all numbers between 0 and 1 and 0 and 1 themselves". Those numbers satisfy \(\displaystyle 0\le x\le 1\).<br>
<br>
(0, 1] means "all numbers between 0 and 1 and 1 but not 0". Those numbers satisfy \(\displaystyle 0< x\le 1[\tex]<br>
<br>
[0, 1) means "all numbers between 0 and 1 and 0 but not 1". Those numbers satisfy \(\displaystyle 0\le x< 1[\tex]\)\)