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- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_1350%3A_Precalculus_Part_I/02%3A_Equations_and_Inequalities/2.07%3A_Linear_Inequalities_and_Absolute_Value_InequalitiesIn this section, we will explore various ways to express different sets of numbers, inequalities, and absolute value inequalities.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/02%3A_Linear_and_Quadratic_Functions/2.04%3A_Inequalities_with_Absolute_Value_and_Quadratic_FunctionsIn this section, not only do we develop techniques for solving various classes of inequalities analytically, we also look at them graphically. The first example motivates the core ideas.
- https://math.libretexts.org/Courses/Reedley_College/College_Algebra_1e_(OpenStax)/03%3A_Inequalities/3.01%3A_Linear_InequalitiesIn this section, we will explore various ways to express different sets of numbers, inequalities, and absolute value inequalities.
- https://math.libretexts.org/Courses/Mission_College/Math_1X%3A_College_Algebra_w__Support_(Sklar)/01%3A_Linear_and_Quadratic_Functions/1.06%3A_Compound_and_Absolute_InequalitiesIn this section, we will explore various ways to express different sets of numbers, inequalities, and absolute value inequalities.
- https://math.libretexts.org/Courses/Las_Positas_College/Book%3A_College_Algebra/02%3A_Equations_and_Inequalities/2.08%3A_Linear_and_Absolute_Value_Inequalities/2.8.01%3A_Linear_InequalitiesIn this section, we will explore various ways to express different sets of numbers, inequalities, and absolute value inequalities.
- https://math.libretexts.org/Bookshelves/Precalculus/Corequisite_Companion_to_Precalculus_(Freidenreich)/4%3A_Inequalities/4.04%3A_Absolute_Value_Equations_and_Inequalities_as_Applied_to_DistanceThe absolute value function, denoted y = |x|, takes any negative real number input and outputs the positive version of that number. Nonnegative numbers are left unchanged. Measuring distance is a goo...The absolute value function, denoted y = |x|, takes any negative real number input and outputs the positive version of that number. Nonnegative numbers are left unchanged. Measuring distance is a good application to demonstrate the usefulness of this function. Distance is never negative.
- https://math.libretexts.org/Bookshelves/Algebra/College_Algebra_1e_(OpenStax)/02%3A_Equations_and_Inequalities/2.08%3A_Linear_Inequalities_and_Absolute_Value_InequalitiesIn this section, we will explore various ways to express different sets of numbers, inequalities, and absolute value inequalities.
- https://math.libretexts.org/Courses/Coastline_College/Math_C115%3A_College_Algebra_(Tran)/02%3A_Equations_and_Inequalities/2.08%3A_Linear_Inequalities_and_Absolute_Value_InequalitiesIn this section, we will explore various ways to express different sets of numbers, inequalities, and absolute value inequalities.
- https://math.libretexts.org/Courses/Chabot_College/Chabot_College_College_Algebra_for_BSTEM/02%3A_Equations_and_Inequalities/2.07%3A_Linear_Inequalities_and_Absolute_Value_InequalitiesIn this section, we will explore various ways to express different sets of numbers, inequalities, and absolute value inequalities.
- https://math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_(Arnold)/04%3A_Absolute_Value_Functions/4.04%3A_Absolute_Value_InequalitiesTo solve |x| < a graphically, we must determine where the graph of the left-hand side lies below the graph of the right-hand side of the inequality |x| < a. The graph of y = |4 − x| lies above the gra...To solve |x| < a graphically, we must determine where the graph of the left-hand side lies below the graph of the right-hand side of the inequality |x| < a. The graph of y = |4 − x| lies above the graph of y = 5 for all values of x that lie either to the left of −1 or to the right of 9. As we did with |x|≤a, we can take the union of the solutions of |x| = a and |x| > a to find the solution of |x|≥a.
- https://math.libretexts.org/Workbench/Hawaii_CC_Intermediate_Algebra/01%3A_Algebra_Fundamentals/1.09%3A_Absolute_Value_Functions/1.9.04%3A_Absolute_Value_InequalitiesTo solve |x| < a graphically, we must determine where the graph of the left-hand side lies below the graph of the right-hand side of the inequality |x| < a. The graph of y = |4 − x| lies above the gra...To solve |x| < a graphically, we must determine where the graph of the left-hand side lies below the graph of the right-hand side of the inequality |x| < a. The graph of y = |4 − x| lies above the graph of y = 5 for all values of x that lie either to the left of −1 or to the right of 9. As we did with |x|≤a, we can take the union of the solutions of |x| = a and |x| > a to find the solution of |x|≥a.