Solving Linear Inequalities Flashcards
What is an inequality
A mathematical expression with a less than, great than, less than or equal to, or greater than or equal to sign rather than an equal sign.
What does it mean to solve an inequality?
To find the set of all real numbers that makes the inequality true.
What is a solution set for an inequality?
The set of real numbers that makes the inequality true.
What are equivalent inequalities?
Inequalities that have the same solution set.
What is the rule for adding or subtracting constants from both sides of an inequality?
The inequality sign remains the same and the inequality is preserved.
How is the inequality affected when both sides are multiplied by the same positive constant.
The sign remains the same and the inequality is preserved.
How is an inequality affected when both sides are multiplied or divided by the same negative constant.
The sign is flipped and the inequality is preserved.
