Mastering One-Step Inequalities

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Define a one-step inequality.

Back

A one-step inequality is an inequality that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

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What is the solution to the inequality @@-5x geq 15@@?

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Front

Explain the importance of reversing the inequality sign when multiplying or dividing by a negative number.

Back

When you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign must be reversed to maintain the truth of the statement.

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It represents all numbers less than or equal to 3, including 3 itself.

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How can you check the solution of an inequality?

Back

You can check by substituting a value from the solution set back into the original inequality to see if it holds true.

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A number line with an open circle at 1 and a line extending to the right.