# How to write an absolute value inequality from words to actions

What would the graph of this set of numbers look like? For example, represent the difference between x and 12 as x — 12 or 12 — x.

Emphasize that each expression simply means the difference between x and As you can see, we are solving two separate linear inequalities. Guide the student to write an equation to represent the relationship described in the second problem.

What do you get? Review, as needed, how to solve absolute value inequalities. The absolute value of any number is either zero 0 or positive which can never be less than or equal to a negative number. Instructional Implications Review the concept of absolute value and how it is written. This is an example of case 3.

In case 2, the arrows will always be in opposite directions. This will definitely help you solve the problems easily. Provide additional examples of absolute value inequalities and ask the student to solve them.

Is unable to correctly write either absolute value inequality. Do you know whether or not the temperature on the first day of the month is greater or less than 74 degrees?

Questions Eliciting Thinking How many solutions can an absolute value equation have? Clear out the absolute value symbol using the rule and solve the linear inequality. Do you think you found all of the solutions of the first equation? Writes only the first inequality correctly but is unable to correctly solve it.

A difference is described between two values. We can also write the answer in interval notation using a parenthesis to denote that -8 and -4 are not part of the solutions.

Questions Eliciting Thinking Would the value satisfy the first inequality? What is the constraint on this difference? What is the difference? Why is it necessary to use absolute value symbols to represent the difference that is described in the second problem?

Pick some test values to verify: Questions Eliciting Thinking Can you reread the first sentence of the second problem? You might also be interested in: Examples of Student Work at this Level The student correctly writes and solves the first inequality: Instructional Implications Model using absolute value to represent differences between two numbers.

A difference is described between two values. The inequality symbol suggests that the solution are all values of x between -3 and 7, and also including the endpoints -3 and 7.

Uses the wrong inequality symbol to represent part of the solution set. Examples of Student Work at this Level The student correctly writes and solves the first equation:Engaging math & science practice!

Improve your skills with free problems in 'Writing Absolute Value Inequalities Given a Word Problem' and thousands of other practice lessons. Free absolute value inequality calculator - solve absolute value inequalities with all the steps.

Type in any inequality to get the solution, steps and graph Absolute. Pre Algebra. Absolute Value Inequalities Calculator Solve absolute value inequalities, step-by.

Why was it necessary to use absolute value to write this equation? Consider implementing MFAS task Writing Absolute Value Inequalities (A-CED). ACCOMMODATIONS & RECOMMENDATIONS.

Special Materials Needed: • Writing Absolute Value Equations worksheet. SOURCE AND ACCESS INFORMATION. Contributed by: MFAS FCRSTEM. Solving absolute value equations and inequalities. The absolute number of a number a is written as You can write an absolute value inequality as a compound inequality.

\left | x \right | above with ≥ and an absolute value inequality it's necessary to first isolate the absolute value. These absolute value word problems in this lesson will explore real life situations that can be modeled by either an absolute value equation or an absolute value inequality.

Write an absolute value inequality that model your weight loss. Examples of How to Solve Absolute Value Inequalities. Example 1: Solve the absolute value inequality.

To write the answer in interval notation, we will utilize the square brackets instead of the regular parenthesis to denote that -3 and 7 are part of the solution.

How to write an absolute value inequality from words to actions
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