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- https://stats.libretexts.org/Under_Construction/Purgatory/FCC_-_Finite_Mathematics_-_Spring_2023/03%3A_Functions/3.14%3A_Absolute_Value_Functions/3.14.04%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 \(|x| \leq a\), we can take the union of the solutions of |x| = a and |x| > a to find the solution of \(|x| \geq a\).
- https://stats.libretexts.org/Under_Construction/Purgatory/DS_21%3A_Finite_Mathematics/01%3A_Graphs_Lines_and_Inequalities/1.05%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 \(|x| \leq a\), we can take the union of the solutions of |x| = a and |x| > a to find the solution of \(|x| \geq a\).
- https://stats.libretexts.org/Sandboxes/JolieGreen/Finite_Mathematics_-_June_2022/01%3A_Graphs_Lines_and_Inequalities/1.04%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://stats.libretexts.org/Sandboxes/JolieGreen/Finite_Mathematics_-_June_2022/01%3A_Graphs_Lines_and_Inequalities/1.05%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 \(|x| \leq a\), we can take the union of the solutions of |x| = a and |x| > a to find the solution of \(|x| \geq a\).
- https://stats.libretexts.org/Under_Construction/Purgatory/Finite_Mathematics_-_Spring_2023/03%3A_Functions/3.14%3A_Absolute_Value_Functions/3.14.04%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 \(|x| \leq a\), we can take the union of the solutions of |x| = a and |x| > a to find the solution of \(|x| \geq a\).
- https://stats.libretexts.org/Under_Construction/Purgatory/DS_21%3A_Finite_Mathematics/01%3A_Graphs_Lines_and_Inequalities/1.04%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.