Algebra 1 Vocabulary Unit 2B
Solving "and" inequalities
If the "and" inequality is written out, solve each part separately. If condensed, you can solve it all together, working inside out. Then, graph to show all possible solutions
Closed Circle-Inequality
Including Values-Graph Symbol
<
Less Than
≤
Less Than Equal Too
Open Circle-Inequality
Not Including Value/Makes Statement False-Graph Symbol
Parentheses
Use (or) when a < or > symbol indicates that the interval's endpoints are not included-Positive and Negative infinity always get infinity symbol
Bracket
Use [or] when a ≤ or ≥ symbol indicates that the interval's endpoints are included
Infinity
Use ∞ when the interval continues forever in a positive direction. Use -∞ when the interval continue forever in a negative direction.
Inequality Statement
Using the <, >, or = symbols to compare numbers and variables Ex. x ≥ 2
Interval Notation
a way to describe the solution set of an inequality-Read Left To Right Ex. [2,∞)
Compound Inequalities
2 inequalities statements on one graph
Absolute Value Inequalities
Greater Than/Greater Than Or Equal To; Or Statement Less Than/Less Than Or Equal to; And Statement
=
Equal Too
=/ (It is supposed to be an equal sign with a line through it)
False Statement -No Equal Too
>
Greater Than
≥
Greater Than Equal Too
Conjunction
math sentence joined by the word "and" graphs come together
Disjunction
math sentences joined by the word "or" graphs go apart
Solving "or" inequalities
to solve "or" inequalities, solve each part, then graph on a number line to show the solutions