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