A16-1 One-Step Linear Inequalities
- 1. Inequalities Algebra 2 6.1 p. 334
- 2. For each part, check to see if the inequality sign is still facing the right direction.
- 3. Graphing Linear Inequalities All real numbers less than 2: x < 2 0
- 4. Graphing Linear Inequalities All real numbers greater than -2: x > -2 0
- 5. Graphing Linear Inequalities All real numbers less than or equal to 1: x 1 0
- 6. Graphing Linear Inequalities Real numbers greater than or equal to 0: x 0 0
- 7. Graphing Linear Inequalities An open dot is used for < or > and a solid dot for or .
- 8. Example 1 Average speed = distance time A faster runner’s average speed must be greater than Sue’s average speed.
- 9. Example 1 Since the problem asks for all the runners faster than Sue, we will represent that with a variable (like x).
- 10. Example 1 Since the problem asks for all the runners faster than Sue, we will represent that with a variable (like x). Faster average speed = x Distance = 2 miles Sue’s time = 10 minutes
- 11. Example 1 Faster average speed > distance Sue’s time x > 2 / 8
- 12. Solving Inequalities You solve linear inequalities the same way you solve equations. The only difference is that you HAVE TO flip the inequality sign when multiplying or dividing by a negative number .
- 13. Solving Inequalities Reverse addition and subtraction
- 14. Solving Inequalities Reverse addition and subtraction Reverse multiplication and division
- 15. Solving Inequalities Reverse addition and subtraction Reverse multiplication and division Reverse exponents
- 16. Solving Inequalities Reverse addition and subtraction Reverse multiplication and division Reverse exponents Reverse parentheses