Solving Inequalities & Literal & Multi-Step Equations - 37?s

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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.

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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 using inverse operations, similar to solving an equation. Remember to reverse the inequality sign when multiplying or dividing by a negative number.

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What does the symbol '<' mean in inequalities?

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The symbol '<' means 'less than'. For example, 'x < 5' means x is any number less than 5.

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What does the symbol '>' mean in inequalities?

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The symbol '>' means 'greater than'. For example, 'x > 3' means x is any number greater than 3.

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What does the symbol '≤' mean in inequalities?

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The symbol '≤' means 'less than or equal to'. For example, 'x ≤ 4' means x can be any number less than or equal to 4.

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What does the symbol '≥' mean in inequalities?

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The symbol '≥' means 'greater than or equal to'. For example, 'x ≥ 2' means x can be any number greater than or equal to 2.

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What is a literal equation?

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A literal equation is an equation that involves two or more variables. It is often solved for one variable in terms of the others.

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How do you solve for a variable in a literal equation?

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To solve for a variable in a literal equation, isolate the variable on one side of the equation using inverse operations.

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What is a multi-step equation?

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A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.