Solving and Graphing Inequalities

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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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What does the symbol '≤' mean?

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The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

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What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

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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.

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What does it mean to graph an inequality on a number line?

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Graphing an inequality on a number line involves shading the region that represents all possible solutions and using an open circle for strict inequalities and a closed circle for non-strict inequalities.