It looks like you're outlining key concepts and vocabulary from a lesson plan related to mathematics, specifically focusing on inequalities, equations, and sets. Here's a brief overview and explanation of each term and concept mentioned:
Linear Inequality
A linear inequality is a mathematical statement that involves a linear expression and a relation symbol (like <, >, ≤, or ≥). For example, \(2x + 3 < 7\) is a linear inequality. Solutions to linear inequalities include all the values for the variable that make the inequality true.
Lesson 6: Multiple Equations or Inequalities
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Intersection of Two Sets: The intersection is the set of elements that are common to both sets. For example, if Set A = {1, 2, 3} and Set B = {2, 3, 4}, then the intersection of A and B is {2, 3}.
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Union of Two Sets: The union is the set of all elements that are in either set or in both. Using the previous example, the union of Set A and Set B is {1, 2, 3, 4}.
Lesson 7: Variable Expressions in Denominators
- Undefined: An expression is undefined when its denominator equals zero. For example, the expression \( \frac{1}{x} \) is undefined when \( x = 0 \).
Lesson 8: Rearranging Formulas
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Quantity of Interest: This is the specific value or variable that is being solved for in a formula.
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Term: A term is a single mathematical expression. It can be a number, a variable, or a combination of both multiplied together (e.g., 3x, -5, \( x^2 \)).
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Unit: A unit is a standard quantity used to measure something (e.g., meters, liters, seconds).
Lesson 9: Creating One-Variable Equations & Inequalities
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Constraint: A constraint is a limitation or condition that must be satisfied in a problem or model, often represented by equations or inequalities.
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Nonviable: This refers to a solution or answer that does not work within the given context – for example, a negative quantity of items in a problem where only positive quantities make sense.
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Solve: To solve means to find the value of a variable that makes an equation or inequality true.
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Viable: A viable solution is one that is feasible and works within the established constraints of the problem.
Summary
These concepts form the foundation for solving linear equations and inequalities, understanding sets, and manipulating mathematical expressions. Mastery of these terms and their applications will enhance problem-solving skills in algebra. If you need further details or examples for any specific term, feel free to ask!
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