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- https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.02%3A_Algebra_Support/1.2.01%3A_Real_Numbers_Linear_Inequalities_and_Interval_NotationThe vertical line | inside the braces reads, “such that” and the symbol ∈ indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all number...The vertical line | inside the braces reads, “such that” and the symbol ∈ indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all numbers ab such that a and b are elements of the set of integers and b is not equal to zero.” Decimals that terminate or repeat are rational.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/11%3A_Appendix_-_Prerequisite_Function_Material/11.01%3A_Sets_of_Real_Numbers_and_the_Cartesian_Coordinate_PlaneThis section introduces the sets of real numbers, their properties, and the Cartesian coordinate plane. It covers the classification of numbers (natural, whole, integers, rational, and irrational) and...This section introduces the sets of real numbers, their properties, and the Cartesian coordinate plane. It covers the classification of numbers (natural, whole, integers, rational, and irrational) and explains how to plot points and graph equations on the Cartesian plane. The section also discusses intervals and the distance formula, providing foundational knowledge for working with functions and graphs in Algebra.
- https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/02%3A_Algebra_Support/2.01%3A_Real_Numbers_Linear_Inequalities_and_Interval_NotationThe vertical line | inside the braces reads, “such that” and the symbol ∈ indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all number...The vertical line | inside the braces reads, “such that” and the symbol ∈ indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all numbers ab such that a and b are elements of the set of integers and b is not equal to zero.” Decimals that terminate or repeat are rational.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Introduction_to_Game_Theory%3A_A_Discovery_Approach_(Nordstrom)/03%3A_Repeated_Two-Person_Zero-sum_Games/3.06%3A_Augmented_MatricesIn this section, we will see how to use matrices to solve systems of equations. In both the graphical method and the expected value method, you have had to solve a system of equations.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_(Lecture_Notes)/01%3A_Functions/1.02%3A_Domain_and_RangeFinding the Domain of a Function Defined by an Equation Examples Domain and range of a set of data points. Domain of a quadratic, simple rational, and shifted square root function. Note You will likel...Finding the Domain of a Function Defined by an Equation Examples Domain and range of a set of data points. Domain of a quadratic, simple rational, and shifted square root function. Note You will likely have to review interval notation. Definitions Set-builder notation Finding Domain and Range from Graphs Do one. Finding Domains and Ranges of the Toolkit Functions Graphing Piecewise-Defined Functions Definition Piecewise function Example Graph a piecewise involving raw toolkit functions only.
- https://math.libretexts.org/Bookshelves/Mathematical_Logic_and_Proof/Gentle_Introduction_to_the_Art_of_Mathematics_(Fields)/04%3A_Sets/4.02%3A_ContainmentThere are two notions of being “inside” a set. A thing may be an element of a set, or may be contained as a subset. Distinguishing these two notions of inclusion is essential. One difficulty that some...There are two notions of being “inside” a set. A thing may be an element of a set, or may be contained as a subset. Distinguishing these two notions of inclusion is essential. One difficulty that sometimes complicates things is that a set may contain other sets as elements. For instance, as we saw in the previous section, the elements of a power set are themselves sets.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/01%3A_Relations_and_Functions/1.01%3A_Sets_of_Real_Numbers_and_the_Cartesian_Coordinate_PlaneThis section introduces the sets of real numbers, their properties, and the Cartesian coordinate plane. It covers the classification of numbers (natural, whole, integers, rational, and irrational) and...This section introduces the sets of real numbers, their properties, and the Cartesian coordinate plane. It covers the classification of numbers (natural, whole, integers, rational, and irrational) and explains how to plot points and graph equations on the Cartesian plane. The section also discusses intervals and the distance formula, providing foundational knowledge for working with functions and graphs in Algebra.
