Writing Equations and Inequalities

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically written in the form 'A = B'.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other, typically written using symbols like >, <, ≥, or ≤.

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What does it mean to solve an inequality?

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To solve an inequality means to find the value(s) of the variable(s) that make the inequality true.

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What is the difference between an equation and an inequality?

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An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

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What is a variable in mathematics?

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A variable is a symbol, often a letter, that represents an unknown value in an equation or inequality.

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What is a solution set?

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A solution set is the set of all values that satisfy an equation or inequality.

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How do you graph an inequality on a number line?

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To graph an inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

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What is a linear equation?

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A linear equation is an equation of the first degree, meaning it has no exponents greater than one, and it can be written in the form 'y = mx + b'.

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What is a linear inequality?

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A linear inequality is similar to a linear equation but uses inequality symbols instead of an equal sign, such as 'y < mx + b'.