Solutions to two variable linear equalities

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What is a linear inequality?

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A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a range of possible solutions rather than a single solution.

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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 sign by performing inverse operations (addition, subtraction, multiplication, division) while maintaining the direction of the inequality. If you multiply or divide by a negative number, reverse the inequality sign.

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CCSS.6.EE.B.8

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What does the solution of a linear inequality represent?

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The solution of a linear inequality represents all the values of the variable that make the inequality true, often expressed as an interval or a graph on a number line.

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CCSS.6.EE.B.8

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

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CCSS.7.EE.B.4B

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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 is dashed for < or > and solid for ≤ or ≥) on a coordinate plane.

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CCSS.HSA.REI.D.12

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CCSS.7.EE.B.4B

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CCSS.7.EE.B.4B

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What is the significance of the inequality symbol in a linear inequality?

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The inequality symbol indicates the relationship between two expressions, showing whether one is greater than, less than, greater than or equal to, or less than or equal to the other.