Solving Absolute Value Inequalities
We use number line approach to solve an inequality and follow the steps added below:
Step 1: Write down the inequality and assume it to be an equality making it an equation instead of inequation.
Step 2: Draw a number line depending on the intervals and represent the equation on the number line.
Step 3: From each interval, select a number and check if it satisfies the inequality.
Step 4: Perform step 3 for every interval and the intervals for which a random number satisfies the inequality will be included in your final answer.
Step 5: Take the union of all the intervals to get the answer.
Graphical Representation of Inequalities
We can use a graph to plot the inequalities and find the corresponding solution for the inequalities. Let us see how we can use the graph to plot the solution
Note: Open dot ◌ is used for representing an open interval whereas a closed dot ⚈ is used to represent a closed interval in the graph.
Here is the representation of different cases:
Representation of Inequalities
Absolute Value Inequalities
Inequalities that involve algebraic expressions with absolute value symbols and inequality symbols are called Absolute Value Inequality. In this article, we will discuss inequalities and absolute value inequalities and others in detail.
Table of Content
- What is Inequalities?
- What is Absolute Value Inequalities?
- Solving Absolute Value Inequalities
- Types of Absolute Value Inequalities
- Intersection and Union in Absolute Value Inequalities
- Examples on Absolute Value Inequalities
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