Inequalities

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What is an inequality?

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

Tags

CCSS.6.EE.B.8

Front

What symbols are commonly used in inequalities?

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The common symbols used in inequalities are: > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to).

Tags

CCSS.6.EE.B.8

Front

How do you solve a simple linear inequality?

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To solve a simple linear inequality, isolate the variable on one side of the inequality by performing the same operations on both sides, similar to solving an equation.

Tags

CCSS.6.EE.B.8

Front

What is the graphical representation of an inequality?

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The graphical representation of an inequality is shown on a number line or coordinate plane, where a shaded region indicates all possible solutions.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean to graph an inequality?

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Graphing an inequality means to represent all the solutions of the inequality on a number line or coordinate plane, using a solid line for inclusive inequalities and a dashed line for exclusive inequalities.

Tags

CCSS.HSA.REI.D.12

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How do you interpret the solution of an inequality?

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The solution of an inequality represents a range of values that satisfy the inequality, rather than a single value.

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What is a real-world application of inequalities?

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Inequalities can be used in real-world scenarios such as budgeting, where you need to express limits on spending or resources.

Tags

CCSS.6.EE.B.8

Front

How do you write an inequality from a word problem?

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To write an inequality from a word problem, identify the quantities involved, determine the relationship between them, and express it using inequality symbols.

Tags

CCSS.6.EE.B.8

Front

What is the difference between a strict and a non-strict inequality?

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A strict inequality (e.g., > or <) does not include the boundary value, while a non-strict inequality (e.g., ≥ or ≤) includes the boundary value.

Tags

CCSS.6.EE.B.8

Front

How can you check if a value satisfies an inequality?

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To check if a value satisfies an inequality, substitute the value into the inequality and see if the statement is true.

Tags

CCSS.6.EE.B.5