ELL Solving Multi-Step Inequalities

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What is a multi-step inequality?

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A multi-step inequality is an inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

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It means that the value of 'a' can be 4 or any number greater than 4, represented by a closed dot at 4 and shading to the right on the number line.

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What is the significance of reversing the inequality sign?

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The inequality sign reverses when multiplying or dividing both sides by a negative number.

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It indicates that 'a' can be any number less than -2, represented by an open dot at -2 and shading to the left on the number line.

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What is the first step in solving a multi-step inequality?

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The first step is to simplify both sides of the inequality, which may involve distributing, combining like terms, or moving constants to one side.

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How do you check the solution of an inequality?

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To check the solution, substitute a value from the solution set back into the original inequality to see if it holds true.

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

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