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Mr Stepp Alg I Ch 6
| Question | Answer |
|---|---|
| If any number is added to each side of a true inequality, the resulting inequality is also true | Addition property of Inequality |
| If each side of the inequality is divided by the same positive number, the resulting inequality is also true. | Division Property of Inequality |
| any line in the plane divides the plane into two regions called half-planes. The line is called the boundary of each of the two half-planes. | Half-Plane |
| the graph of a compound inequality containing and;the solution is the set of elements common to both inequalities | Intersection |
| If each side of a true inequality is multiplied by the same positive number, the resulting inequality is also true. | Multiplication Property of inequalities |
| A concise way of writing a solution set. For example, {t|t<17} represents the set of all numbers t such that t is less than 17 | Set-Builder Notation |
| The graph of a compound inequality containing or; the solution is a solution of either inequality, not necessarily both. | Union |
| The word and goes with 1) union or 2)intersection | 2 |
| The word or goes with 1) union or 2)intersection | 1 |
| Absolute value is really ___ | Distance |
| What two numbers have the absolute value of 12 | -12 and 12 |
| When the absoute value of x is less than 6, what are the two statements you write to solve? | x > - 6 and x < 6 |
| x > - 6 and x < 6 can be written as a between statement how? | -6 < x < 6 |
| What is the boundary in x > 12 | 12 |
| Would you color in or leave open the boundary in x > 12 | leave open |
| When the boundary is a line, the two ways to show the boundary itself are with a solid or a ___ line | dotted |
| would you change > to < if you added negative 9 from both sides of an inequality | no |
| would you change > to < if you divided both sides of an inequality by nine? | no |
| would you change > to < if you divided both sides of an inequality by negative nine? | yes |
| When the absoute value of x is greater than 6, what are the two statements you write to solve? | x < -6 and x > 6 |
| The vertical bar in set builder notation such as {t|t<17} is read as __ __ | such that |
| After picking a test point that resulted in a false statement, which side of the line would you shade for an inequality in two variables? | You would color in the side of the boundary line that did NOT include the test point |
| After picking a test point that resulted in a TRUE statement, which side of the line would you shade for an inequality in two variables? | the half plane that included your test point |
| Since you get to decide which point to use for a test point for an inequality in two variables, what kind of points should you pick. | Any easy point that is not on the boundary line such as the origin or (1,1) etc. |
Created by:
criswell216
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