1 / 5

1.1 Stuff

1.1 Stuff. A linear equation in one variable is an equation that has one unknown and the unknown is written to the first power. Linear equations in one variable can be written in the form ax + b = 0 where a and b are real numbers and . 1.4 Stuff.

ganesa
Download Presentation

1.1 Stuff

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. 1.1 Stuff • A linear equation in one variable is an equation that has one unknown and the unknown is written to the first power. Linear equations in one variable can be written in the form ax + b = 0 where a and b are real numbers and .

  2. 1.4 Stuff • A linear inequality in one variable is an inequality that can be written in one of the following forms ax + b > c ax + b < c ax + b c ax + b c where a, b, and c are real numbers and a ≠ 0.

  3. 1.4 Stuff • Let a and b represent two real numbers with a < b. • A closed interval, denoted by [a, b], consists of all real numbers x for which . • An open interval, denoted by (a, b), consists of all real numbers x for which a < x < b. • Thehalf-open, orhalf-closed, intervals, are (a, b], consisting of all real numbers x for which and [a, b) consisting of all real numbers x for which In each of these definitions, a is called the left endpoint and b the right endpoint.

  4. 1.4 Stuff • Addition (and Subtraction) If a < b, then a + c < b + c. Similar properties exist for >, , and .

  5. 1.4 Stuff • Multiplication (and Division) If c > 0 and a < b, then ac < bc. If c < 0 and a < b, then ac>bc. Similar properties exist for >, , and .

More Related