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In this lesson you will learn how to find the absolute value of a number by using a number line.

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Online algebra calculator to solve linear inequalities. Inequality is similar to that of a linear function, where the expressions are connected with the four signs greater than (>) or less than (<) or greater than or equal to (≥) or less than or equal to (≤).

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Solving Using Graphing. You can solve quadratic inequalities by graphing the two sides of an inequality and seeing what the \(x\) intervals are for where one graph lies either below (\(<\)) or above (\(>\)) the other one. Here are some examples using a Graphing Calculator.

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Below is the graph of the inequality y > x + 1. Step 1: The inequality is already in the form that we want. That is, the variable y is isolated on the left side of the inequality. Step 2: Change inequality to equality. Therefore, y > x + 1 becomes y = x + 1. Step 3: Now graph the y = x + 1. Use the method that you prefer when graphing a line.

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The Real Number Line. The most intuitive way is to use the real number line. If we draw a line, designate a point on the line to be zero, and choose a scale, then every point on the line corresponds uniquely to a real number, and vice versa:

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When solving inequalities do not forget that multiplying or dividing by a negative number reverses the inequality sign: −x > 3, becomes x < −3 (multiplying by −1). Inequalities in two variables. For an inequality in 2 variables: 2x - y > 1. Below is a graph for 2x-y = 1. The formula can be rearanged as y = 2x -1 and results in a straight ...