Solving One and Two Step Inequalities

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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.

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What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

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What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

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Front

When solving inequalities, do you flip the inequality sign when multiplying or dividing by a negative number?

Back

Yes, you must flip the inequality sign when multiplying or dividing both sides of an inequality by a negative number.

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Draw a solid dot on -2 and shade to the left to indicate all numbers less than or equal to -2.

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Draw an open dot on 6.5 and shade to the right to indicate all numbers greater than 6.5.

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

Back

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