Provide additional examples of absolute value inequalities and ask the student to solve them. Represents the solution set as a conjunction rather than a disjunction. However, the student is unable to correctly write an absolute value inequality to represent the described constraint. How can you represent the absolute value of an unknown number?

Examples of Student Work at this Level The student correctly writes and solves the first inequality: A difference is described between two values. How did you solve the first absolute value inequality you wrote?

Why or why not? Examples of Student Work at this Level The student: Got It The student provides complete and correct responses to all components of the task. Instructional Implications Review the concept of absolute value and how it is written.

Uses the wrong inequality symbol to represent part of the solution set.

If needed, clarify the difference between a conjunction and a disjunction. Can you reread the first sentence of the second problem? What is the constraint on this difference?

Why is it necessary to use absolute value symbols to represent the difference that is described in the second problem?

Instructional Implications Provide feedback to the student concerning any errors made in solving the first inequality or representing its solution set. Instructional Implications Model using absolute value inequalities to represent constraints or limits on quantities such as the one described in the second problem.

Model using simple absolute value inequalities to represent constraints or limits on quantities such as the one described in the second problem.

Questions Eliciting Thinking Would the value satisfy the first inequality? Writes only the first inequality correctly but is unable to correctly solve it.

Can you describe in words the solution set of the first inequality? What would the graph of this set of numbers look like? Provide additional contexts and ask the student to write absolute value inequalities to model quantities or relationships described.

Examples of Student Work at this Level The student correctly writes and solves the absolute value inequality described in the first problem.

Review, as needed, how to solve absolute value inequalities. Can you explain what the solution set contains?

The student does not understand how to write and solve absolute value inequalities. Does not represent the solution set as a disjunction. The student correctly writes the second inequality as or. What are these two values?

Is unable to correctly write either absolute value inequality.The other case for absolute value inequalities is the "greater than" case. Let's first return to the number line, and consider the inequality | x | > The solution will be all. Writing Absolute Value Inequalities Students are asked to write absolute value inequalities to represent the relationship among values described in word problems.

Subject(s): Mathematics 10, Likewise, given an absolute value inequality such as |x – 5| 9. Free inequality calculator - solve linear, quadratic and absolute value inequalities step-by-step. Solving absolute value equations and inequalities. The absolute number of a number a is written as $$\left | a \right |$$ When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.

Writing linear equations using the point-slope form. Solving Absolute Value Equations and Inequalities 51 An absolute value inequality such as | x º 2|. The standard definition for the absolute value function is given by: Thus we can get rid of the sign in our inequality if we know whether the expression inside, x -3, is positive or negative.

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