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# Write as an absolute value inequality

Questions Eliciting Thinking Would the value satisfy the first inequality?

Got It The student provides complete and correct responses to all components of the task. If needed, clarify the difference between a conjunction and a disjunction. Can you describe in words the solution set of the first inequality?

Model using simple absolute value inequalities to represent constraints or limits on quantities such as the one described in the second problem. Examples of Student Work at this Level The student correctly writes and solves the absolute value inequality described in the first problem.

Instructional Implications Provide feedback to the student concerning any errors made in solving the first inequality or representing its solution set. The student does not understand how to write and solve absolute value inequalities. Provide additional examples of absolute value inequalities and ask the student to solve them.

A difference is described between two values. However, the student is unable to correctly write an absolute value inequality to represent the described constraint. Can you reread the first sentence of the second problem?

Why or why not? Can you explain what the solution set contains? The student correctly writes the second inequality as or. Instructional Implications Review the concept of absolute value and how it is written. Writes only the first inequality correctly but is unable to correctly solve it.

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 inequality: Represents the solution set as a conjunction rather than a disjunction.

Provide additional contexts and ask the student to write absolute value inequalities to model quantities or relationships described. Is unable to correctly write either absolute value inequality. Review, as needed, how to solve absolute value inequalities.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 absolute value inequality it's necessary to first isolate the absolute value.

Solving Absolute Value Equations and Inequalities 51 An absolute value inequality such as | x º 2|. Solving Absolute Value Inequalties with Greater Than. The answer is. previous. 1 2 3. Absolute Value Equations and Inequalities. What's an Absolute Value?

Solving Absolute Value Equations. Solving Absolute Value Inequalties with Less Than. Solving Absolute Value. Free absolute value inequality calculator - solve absolute value inequalities with all the steps.

Type in any inequality to get the solution, steps and graph. Watch video · If our absolute value is greater than or equal to 21, that means that what's inside the absolute value has to be either just straight up greater than the positive 21, or less than negative Because if it's less than negative 21, when you take its absolute value, it's going to.

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 | > 2. The solution will be .

Write as an absolute value inequality
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