Solving Equations and Inequalities

Front

What is an inequality?

Back

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.

Front

What does it mean to solve an equation?

Back

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

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Back

Front

What happens to the inequality symbol when you multiply or divide both sides by a negative number?

Back

You flip the inequality symbol.

Front

Solve the equation: 12x - 14x + 2 = 20 - 6. What is x?

Back

x = -6.

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Back

Distribute the 3 to both terms in the parentheses.

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Back

x = -1.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solutions of the inequality on a number line or coordinate plane.

Front

What is the difference between an equation and an inequality?

Back

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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x < 8.