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  2. How to Solve and Graph And & Or Compound Inequalities

    study.com/academy/lesson/how-to-solve-and-or-compound-inequalities.html

    For example, to solve the compound inequality 14 > 2x > 4 follow these steps: 14 > 2x > 4. 14 > 2x and 2x >4 separate the two inequalities. 14/2> 2x/2 and 2x/2> 4/2 to isolate the variable, divide ...

  3. Graphing Inequalities | Definition, Rules & Examples - Study.com

    study.com/academy/lesson/how-to-graph-2-variable-inequalities.html

    A one variable inequality is an inequality with just one variable. These inequalities are graphed onto a single axis, usually the x -axis, in the form of a number line. Inequalities can use any of ...

  4. Graphing Inequalities | Overview & Examples - Lesson - Study.com

    study.com/academy/lesson/graphing-inequalities-practice-problems.html

    For example, x = 1 means that x has only the value one, whereas the inequality x < 1 allows x to take any value, so long as it is less than one, such as zero or -2.5. It is helpful to visualize ...

  5. Solve & Graph an Absolute Value Inequality | Formula & Examples -...

    study.com/academy/lesson/how-to-solve-an-absolute-value-inequality-and-use-set...

    Lastly, we can also graph 2-variable absolute value inequalities, say: y < |x-2| + 1. Just like other 2-variable inequality graphs, we need to begin by graphing the boundary line right where y ...

  6. Finding the Domain & Range of Functions with Inequalities

    study.com/.../lesson/finding-the-domain-range-of-functions-with-inequalities.html

    Set the inequality to 0 instead of y or f (x): Step 2. Factor the polynomial completely, then set each factor equal to zero to find the x-intercepts (zeros) of the function. Step 3. Sketch a ...

  7. How to Solve & Graph Quadratic Inequalities - Lesson - Study.com

    study.com/academy/lesson/graphing-and-solving-quadratic-inequalities.html

    There are essentially two steps to follow. First, graph the function of that shows up in the inequality, using a dotted line, if the inequality has and a solid line for . Then, either shade in the ...

  8. How to Find Minimum or Maximum of a System of Inequalities

    study.com/skill/learn/how-to-find-minimum-or-maximum-of-a-system-of...

    Step 1: Identify the system of inequalities in question. Step 2: Graph each of the inequalities in the system, one by one, on the same graph. Step 3: Determine the range of x -values and range of ...

  9. How to Graph a Compound Inequality on the Number Line

    study.com/skill/learn/how-to-graph-a-compound-inequality-on-the-number-line...

    Graph the compound inequality. x> − 2 and x ≤ 5. Step 1: First we graph each of the individual inequalities. We don't include the point − 2 in the graph of x> − 2, and the graph goes on ...

  10. Absolute Value Inequalities | Definition, Calculation & Examples

    study.com/academy/lesson/solving-absolute-value-inequalities-practice-problems...

    The notation for the absolute value of the number, x, is | x |. Also, recall that there are four inequalities: less than, less than or equal to, greater than, and greater than or equal to. When ...

  11. Solving One-Step Inequalities | Definition, Steps & Examples

    study.com/academy/lesson/solving-one-step-linear-inequalities.html

    A one-step inequality is an inequality that can be solved in one step. This is done using inverse operations. For example, to solve x - 8 > 15, use the inverse of subtraction, which is addition ...