These web-based activities were developed, during summer sessions from 1997 through 1999, by students at Mainland High School, located in Daytona Beach, FL. As part of Mainland's CCTT grant, the students were given permission by the book's publisher to convert the ancillary materials of the County's adopted Algebra 1 textbook (Glencoe Algebra 1 — ISBN: 9780028253282) into html format.
Study Guide
Solving Inequalitites Using Addition and Subtraction
English Phrase |
Mathematical Phrase |
| at most x | ≤ x |
| at least x | ≥ x |
| 5 less than x | x - 5 |
| 5 more than x | x + 5 |
| 5 is less than x | 5 < x |
| x is between 4 and 6 | 4 < x < 6 or x > 4 and x < 6 |
1. Write a mathematical phrase for each of the following English phrases.
a. 8 is no more than x. b. x is no less than 3. c. x is not between 6 and 12. d. x cannot exceed -5. 2. For what values of x, if any, is the mathematical phrase 5 > x > 7 true? To solve compound inequalities, you must perform the same operation on each of the three parts of the inequality.
Example: Solve the compound inequality 3 < x - 2 < 5. 3 < x - 2 < 5
3 + 2 < x - 2 + 2 < 5 + 2
To get x by itself, add 2 to each part.
5 > x > 7
Thus, x is all numbers between 5 and 7. Solve each compound inequality.
3.
-2 < x + 1 < 4
4.
-4 ≤ - 1 ≤ 0
5. 3 < 15 + x < 10 6. -12 < x - 3 ≤ 1
Copyright 1997-1999: html adaptation
Career Connection to Teaching with Technology