A1H Review Unit 9

Front

What is an inequality?

Back

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side of the inequality sign using similar steps as solving an equation, but remember to reverse the inequality sign when multiplying or dividing by a negative number.

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Back

Front

What does 'infinite solutions' mean in the context of inequalities?

Back

'Infinite solutions' means that there are countless values that satisfy the inequality, often occurring when both sides of the inequality are equivalent.

Front

What is the significance of the inequality sign?

Back

The inequality sign indicates the relationship between two expressions, showing whether one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for < or > (not including the number) and a closed circle for ≤ or ≥ (including the number). Shade the region that represents the solution.

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Back

Front

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The first step is to distribute and simplify both sides of the inequality.

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Back

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (e.g., < or >) does not include the boundary value, while a non-strict inequality (e.g., ≤ or ≥) includes the boundary value.