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Mr Stepp Alg I Ch 6

QuestionAnswer
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