Two Step Inequality Word Problems

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What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

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How do you define a variable in a word problem?

Back

To define a variable in a word problem, identify the unknown quantity you need to find and assign a letter (usually x) to represent it.

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What is the first step in solving a two-step inequality?

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The first step is to isolate the term with the variable by performing the inverse operation (addition or subtraction) on both sides of the inequality.

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What does it mean to solve for a variable in an inequality?

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Solving for a variable in an inequality means finding the range of values that satisfy the inequality condition.

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How do you interpret the phrase 'at least' in an inequality?

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The phrase 'at least' indicates that the value must be greater than or equal to a certain number, represented by the symbol ≥.

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What is the significance of the solution set in an inequality?

Back

The solution set in an inequality represents all possible values of the variable that make the inequality true.

Front

How do you graph a solution to a two-step inequality?

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To graph a solution to a two-step inequality, plot the boundary point on a number line and use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

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What is the relationship between saving money and inequalities?

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Saving money often involves inequalities to represent goals, such as needing to save at least a certain amount, which can be modeled mathematically.

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How do you set up an inequality from a word problem?

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To set up an inequality from a word problem, identify the goal, define the variable, and translate the conditions into an inequality format.

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What does it mean to have a minimum requirement in a word problem?

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A minimum requirement indicates the least amount needed to achieve a goal, often represented by an inequality.