Writing Inequalities- Algebra

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What is an inequality in algebra?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Tags

CCSS.6.EE.B.8

Front

How do you represent a budget constraint using an inequality?

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A budget constraint can be represented by an inequality that shows the total cost of items must be less than or equal to the budget amount.

Front

What does the symbol '<' represent in an inequality?

Back

The symbol '<' means 'less than' and indicates that the value on the left side is smaller than the value on the right side.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' represent in an inequality?

Back

The symbol '≤' means 'less than or equal to' and indicates that the value on the left side can be either smaller than or equal to the value on the right side.

Tags

CCSS.6.EE.B.8

Front

How can you express a spending limit using an inequality?

Back

A spending limit can be expressed as an inequality where the total spending must be less than or equal to the limit.

Tags

CCSS.6.EE.B.8

Front

What is the general form of a linear inequality?

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The general form of a linear inequality is ax + b < c, ax + b > c, ax + b ≤ c, or ax + b ≥ c, where a, b, and c are constants.

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How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation.

Front

What is the significance of the constant term in an inequality?

Back

The constant term in an inequality represents a fixed value that can affect the solution set and the range of possible values for the variable.

Tags

CCSS.6.EE.B.8

Front

How do you interpret the solution of an inequality graphically?

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The solution of an inequality can be represented on a number line, where the shaded region indicates all possible values that satisfy the inequality.

Tags

CCSS.6.EE.B.8

Front

What is a real-world example of using inequalities?

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A real-world example of using inequalities is budgeting for an event, where the total expenses must not exceed a certain amount.

Tags

CCSS.6.EE.B.8