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, adding or subtracting terms, and multiplying or dividing by a number.

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What does the symbol '≥' mean in inequalities?

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'≥' means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the number.

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You use an open circle at 6 to indicate that 6 is not included in the solution, and shade to the left to show all values less than 6.

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It represents all values of x that are greater than or equal to -10, including -10 itself.

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When solving inequalities, what happens when you multiply or divide by a negative number?

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When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.

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What is the difference between an open circle and a closed circle on a number line?

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An open circle indicates that the number is not included in the solution (e.g., < or >), while a closed circle indicates that the number is included (e.g., ≤ or ≥).

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The solution includes all values of r that are greater than or equal to -6.