Inequalities & Interval Notation
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•
Mathematics
•
9th Grade - University
•
Practice Problem
•
Hard
Tiffany Smith
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10 Slides • 0 Questions
1
Inequalities & Interval Notation
Graphing Inequalities and rewriting inequalities in interval notation.
2
Inequality:
a statement that two quantities are not
equal; we use the symbols >, <, ≥, ≤
3
Number line for graphing inequalities:
we shade the numbers that the variable could be;
closed dots mean included (≥, ≤)
open dots mean not included (>, <)
4
Interval Notation:
a method to represent an interval on a number line.
5
Verbal Description | Number LIne | Inequality | Interval |
|---|---|---|---|
x is greater than 4 | | x > 4 | (4, ∞) |
Key Words:
greater
more
larger
above
Greater than
>
6
Verbal Description | Number LIne | Inequality | Interval |
|---|---|---|---|
x is less than 4 | | x < 4 | (-∞, 4) |
Key Words:
less
smaller
below
Less than
<
7
Verbal Description | Number LIne | Inequality | Interval |
|---|---|---|---|
x is greater than or equal to 4 | | x ≥ 4 | [4, ∞) |
Key Words:
minimum
at least
no less than
no smaller than
Greater than or equal to
≥
8
Verbal Description | Number LIne | Inequality | Interval |
|---|---|---|---|
x is less than or equal to 4 | | x ≤ 4 | (-∞, 4] |
Key Words:
maximum
at most
no greater than
no more than
no bigger than
Less than or equal to
≤
9
Verbal Description | Number LIne | Inequality | Interval |
|---|---|---|---|
2 is less than x, which is less than or equal to 6 | | 2 < x ≤ 6 (inequality signs will always point the same direction) | (2, 6] |
Key Words:
between
within
intersection
AND
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Verbal Description | Number LIne | Inequality | Interval |
|---|---|---|---|
x is less than 2, or x is greater than or equal to 6 | | x < 2 OR x ≥ 6 | (-∞, 2) ∪ [6, ∞) |
Key Words:
outside
union
OR
Inequalities & Interval Notation
Graphing Inequalities and rewriting inequalities in interval notation.
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