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# LHS Algebra 1 C5

### LHS Algebra 1 C5 Linear Inequalities

TermDefinition
Inequality An open sentence that contains less than, greater than, less than or equal to, or greater than or equal to.
set-builder notation A more concise way of writing a solution set
compound inequality When two inequalities are considered together as a union or an intersection
intersection A compound inequality that contains "and" and only true if both inequalities are true.
union A compound inequality that contains "or" and is true if at least one of the inequalities is true.
Addition property of Inequalities If the same number is added to each side of a true inequality, the resulting inequality is also true.
Subtraction property of Inequalities If the same number is subtracted to each side of a true inequality, the resulting inequality is also true.
Positive Multiplication property of Inequalities If both sides of an inequality that is true are multiplied by a positive number, the resulting inequality is also true.
Positive Division property of Inequalities If both sides of a true inequality are divided by a positive number, the resulting inequality is also true.
Negative Multiplication property of Inequalities If both sides of an inequality that is true are multiplied by a negative number, the direction of the inequality sign is reversed to make the resulting inequality also true.
Negative Division property of Inequalities If both sides of a true inequality are divided by a negative number, the direction of the inequality sign is reversed to make the resulting inequality also true.
boundary
half-plane
closed half-plane
open half-plane
Created by: shelley.wirtz