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What is a linear inequality?

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Tags

CCSS.7.EE.B.4B

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How do you solve a linear inequality?

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To solve a linear inequality, isolate the variable on one side of the inequality using inverse operations, similar to solving an equation. Remember to reverse the inequality sign when multiplying or dividing by a negative number.

Tags

CCSS.6.EE.B.8

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What does the solution set of a linear inequality represent?

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The solution set of a linear inequality represents all the values of the variable that make the inequality true, often depicted on a number line or graph.

Tags

CCSS.HSA.REI.D.12

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What is the difference between a linear equation and a linear inequality?

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A linear equation has an equal sign (=) and represents a specific solution, while a linear inequality uses inequality symbols and represents a range of solutions.

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What is the graphical representation of a linear inequality?

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The graphical representation of a linear inequality is a shaded region on one side of a boundary line, which represents all the solutions that satisfy the inequality.

Tags

CCSS.HSA.REI.D.12

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What is the boundary line in a linear inequality?

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The boundary line is the line that represents the equation formed by replacing the inequality sign with an equal sign. It can be solid (for ≤ or ≥) or dashed (for < or >).

Tags

CCSS.HSA.REI.D.12

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What does it mean if a linear inequality is written in slope-intercept form?

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If a linear inequality is in slope-intercept form (y = mx + b), it allows for easy identification of the slope (m) and y-intercept (b), which helps in graphing the inequality.

Tags

CCSS.HSF-IF.C.7A

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What is absolute deviation?

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How do you represent the solution of a linear inequality on a number line?

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To represent the solution of a linear inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥, shading the appropriate direction.

Tags

CCSS.6.EE.B.8

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What is a compound inequality?

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A compound inequality combines two or more inequalities, often connected by 'and' or 'or', representing a range of values that satisfy all conditions.