Unit 3 Inequalities

symbols

100

I'm a set's representation where every member is separated by commas and enclosed in curly brackets. What am I?

One way to write sets is by using this, {}, such as {1,2,3...}.  It lists the elements of a set.

roster form

200

I describe the rules and properties my elements must follow, rather than listing them all out explicitly. The vertical line or colon in my structure means "such that". What am I?

Another way to write a set is by describing the properties an element must have in a set. {1,2}

set-builder notation

300

I contain no elements, no members, and nothing at all. You can write me with a pair of empty braces, {}. What am I?

a null set - A set that contains no elements.  We use symbols Ø or {} to represent this set.

empty set

400

I show a continuous range on a number line using parentheses and brackets to indicate which endpoints are included or excluded. What am I?

This describes an interval on a number line using special symbols such as (or), [or], ∞, -∞.

interval notation

500

I am a symbol pointing right, showing that the value on my left has more quantity than the value on my right. What am I?

>

greater than

600

I am a tilted V with a line underneath, meaning the number on my left is smaller than or the same as the number on my right. What am I?

<

less than or equal to

terms

100

I am any number that makes a mathematical comparison true, but unlike an equation's single answer, I often come in a whole range or a set of many. What am I?

Any number that makes the inequality true.  2x+1>-3, -1 is a solution

solution of an inequality

200

We look different on the outside, but when you solve us, we share the exact same range of answers. What are we?

Inequalities that have the same solution; 5>4, so 5+5?4+5

equivalent inequalities

300

I am two mathematical restrictions joined by "and" or "or," creating a combined condition for a number to satisfy. What am I?

Consists of two distinct inequalities joined by the word and or the word or.

compound inequality

400

I combine all elements from two different sets into one big happy family, where an element just needs to be in one or the other to join. What am I?

a set that contains all the elements of two or more sets

union

500

I am the elements that appear in both sets, the common ground where the two collections overlap. What am I?

two or more sets of an element that are common to every set

intersection

600

We are two sets that have nothing in common; our overlap is the empty set. What are we?

no elements in common - The intersection of this is an empty set.

disjoint set