Solving inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality signs such as <, >, ≤, or ≥.

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What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

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Back

Combine like terms to simplify the inequality.

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

Back

The inequality sign flips (changes direction).

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Back

Front

How do you combine like terms in an inequality?

Back

You add or subtract the coefficients of the same variable on both sides of the inequality.

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What does the inequality sign '>' indicate?

Back

It indicates that the value on the left is greater than the value on the right.

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The solution set includes all real numbers greater than 1.

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What is the difference between strict and non-strict inequalities?

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Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.